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134521344 = 293337263
BaseRepresentation
bin10000000010010…
…10001000000000
3100101010101121000
420001022020000
5233414140334
621203132000
73222261336
oct1001121000
9311111530
10134521344
1169a2a971
1239074000
1321b3c739
1413c19b56
15bc23299
hex804a200

134521344 has 160 divisors (see below), whose sum is σ = 410509440. Its totient is φ = 43462656.

The previous prime is 134521333. The next prime is 134521351. The reversal of 134521344 is 443125431.

It is a happy number.

134521344 is a `hidden beast` number, since 134 + 521 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511357 + ... + 511619.

It is an arithmetic number, because the mean of its divisors is an integer number (2565684).

Almost surely, 2134521344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

134521344 is an abundant number, since it is smaller than the sum of its proper divisors (275988096).

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

134521344 is an equidigital number, since it uses as much as digits as its factorization.

134521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 134521344 is about 11598.3336734205. Note that the first 3 decimals coincide. The cubic root of 134521344 is about 512.3857769637.

Adding to 134521344 its reverse (443125431), we get a palindrome (577646775).

The spelling of 134521344 in words is "one hundred thirty-four million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 263 288 296 333 384 432 444 512 526 576 592 666 768 789 864 888 999 1052 1152 1184 1332 1536 1578 1728 1776 1998 2104 2304 2367 2368 2664 3156 3456 3552 3996 4208 4608 4734 4736 5328 6312 6912 7101 7104 7992 8416 9468 9472 9731 10656 12624 13824 14202 14208 15984 16832 18936 18944 19462 21312 25248 28404 28416 29193 31968 33664 37872 38924 42624 50496 56808 56832 58386 63936 67328 75744 77848 85248 87579 100992 113616 116772 127872 134656 151488 155696 170496 175158 201984 227232 233544 255744 262737 302976 311392 350316 403968 454464 467088 511488 525474 605952 622784 700632 908928 934176 1050948 1211904 1245568 1401264 1817856 1868352 2101896 2491136 2802528 3635712 3736704 4203792 4982272 5605056 7473408 8407584 11210112 14946816 16815168 22420224 33630336 44840448 67260672 134521344