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134747225834112 = 2734107091213601
BaseRepresentation
bin11110101000110101001000…
…100001111100001010000000
3122200002201010211221022220000
4132220311020201330022000
5120130144304303142422
61154330004310520000
740245110604413643
oct3650651041741200
9580081124838800
10134747225834112
1139a30a83148661
1213142ab9366000
135a257bb907098
14253bb2c915a5a
15108a14066acac
hex7a8d4887c280

134747225834112 has 160 divisors (see below), whose sum is σ = 401043336794100. Its totient is φ = 44911510732800.

The previous prime is 134747225834077. The next prime is 134747225834159. The reversal of 134747225834112 is 211438522747431.

134747225834112 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 4 + 7 + 2 + 2 + 583 + 41 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125984820695616 + 8762405138496 = 11224296^2 + 2960136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110424112 + ... + 111637712.

Almost surely, 2134747225834112 is an apocalyptic number.

134747225834112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134747225834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200521668397050).

134747225834112 is an abundant number, since it is smaller than the sum of its proper divisors (266296110959988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134747225834112 is a wasteful number, since it uses less digits than its factorization.

134747225834112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224336 (or 1224315 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 134747225834112 in words is "one hundred thirty-four trillion, seven hundred forty-seven billion, two hundred twenty-five million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 10709 21418 32127 42836 64254 85672 96381 128508 171344 192762 257016 289143 342688 385524 514032 578286 685376 771048 867429 1028064 1156572 1213601 1370752 1542096 1734858 2056128 2313144 2427202 3084192 3469716 3640803 4112256 4626288 4854404 6168384 6939432 7281606 9252576 9708808 10922409 12336768 13878864 14563212 18505152 19417616 21844818 27757728 29126424 32767227 37010304 38835232 43689636 55515456 58252848 65534454 77670464 87379272 98301681 111030912 116505696 131068908 155340928 174758544 196603362 233011392 262137816 349517088 393206724 466022784 524275632 699034176 786413448 1048551264 1398068352 1572826896 2097102528 3145653792 4194205056 6291307584 12582615168 12996453109 25992906218 38989359327 51985812436 77978718654 103971624872 116968077981 155957437308 207943249744 233936155962 311914874616 350904233943 415886499488 467872311924 623829749232 701808467886 831772998976 935744623848 1052712701829 1247659498464 1403616935772 1663545997952 1871489247696 2105425403658 2495318996928 2807233871544 3742978495392 4210850807316 4990637993856 5614467743088 7485956990784 8421701614632 11228935486176 14971913981568 16843403229264 22457870972352 33686806458528 44915741944704 67373612917056 134747225834112