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137521704 = 233173183131
BaseRepresentation
bin10000011001001…
…10101000101000
3100120202211022110
420030212220220
5240201143304
621351322320
73256625625
oct1014465050
9316684273
10137521704
117069a101
123a0803a0
13226502b8
141439b34c
15c117289
hex8326a28

137521704 has 128 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 40934400.

The previous prime is 137521691. The next prime is 137521733. The reversal of 137521704 is 407125731.

137521704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049719 + ... + 1049849.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2137521704 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 137521704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

137521704 is an abundant number, since it is smaller than the sum of its proper divisors (245679576).

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

137521704 is a wasteful number, since it uses less digits than its factorization.

137521704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 137521704 is about 11726.9648247106. The cubic root of 137521704 is about 516.1672133996.

The spelling of 137521704 in words is "one hundred thirty-seven million, five hundred twenty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 83 93 102 124 131 136 166 186 204 248 249 262 332 372 393 408 498 524 527 664 744 786 996 1048 1054 1411 1572 1581 1992 2108 2227 2573 2822 3144 3162 4061 4216 4233 4454 5146 5644 6324 6681 7719 8122 8466 8908 10292 10873 11288 12183 12648 13362 15438 16244 16932 17816 20584 21746 24366 26724 30876 32488 32619 33864 43492 43741 48732 53448 61752 65238 69037 86984 87482 97464 130476 131223 138074 174964 184841 207111 260952 262446 276148 337063 349928 369682 414222 524892 552296 554523 674126 739364 828444 1011189 1049784 1109046 1348252 1478728 1656888 2022378 2218092 2696504 4044756 4436184 5730071 8089512 11460142 17190213 22920284 34380426 45840568 68760852 137521704