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135934848 = 273471873
BaseRepresentation
bin10000001101000…
…11001110000000
3100110210012120000
420012203032000
5234244403343
621253320000
73240266340
oct1006431600
9313705500
10135934848
116a805955
1239636000
1322215c2a
14140a6d20
15be01ed3
hex81a3380

135934848 has 160 divisors (see below), whose sum is σ = 462578160. Its totient is φ = 38817792.

The previous prime is 135934837. The next prime is 135934867. The reversal of 135934848 is 848439531.

135934848 is a `hidden beast` number, since 13 + 593 + 4 + 8 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71640 + ... + 73512.

Almost surely, 2135934848 is an apocalyptic number.

135934848 is a gapful number since it is divisible by the number (18) 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 135934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231289080).

135934848 is an abundant number, since it is smaller than the sum of its proper divisors (326643312).

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

135934848 is an equidigital number, since it uses as much as digits as its factorization.

135934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1885 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 135934848 is about 11659.1100861086. The cubic root of 135934848 is about 514.1741853392.

The spelling of 135934848 in words is "one hundred thirty-five million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 1873 2016 2268 2592 2688 3024 3456 3746 4032 4536 5184 5619 6048 7492 8064 9072 10368 11238 12096 13111 14984 16857 18144 22476 24192 26222 29968 33714 36288 39333 44952 50571 52444 59936 67428 72576 78666 89904 101142 104888 117999 119872 134856 151713 157332 179808 202284 209776 235998 239744 269712 303426 314664 353997 359616 404568 419552 471996 539424 606852 629328 707994 719232 809136 839104 943992 1061991 1078848 1213704 1258656 1415988 1618272 1678208 1887984 2123982 2157696 2427408 2517312 2831976 3236544 3775968 4247964 4854816 5034624 5663952 6473088 7551936 8495928 9709632 11327904 15103872 16991856 19419264 22655808 33983712 45311616 67967424 135934848