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137104704 = 2633117213
BaseRepresentation
bin10000010110000…
…00110101000000
3100112222122022000
420023000311000
5240044322304
621334344000
73253241112
oct1013006500
9315878260
10137104704
1170434880
1239abb000
1322535559
14142cd3b2
15c083939
hex82c0d40

137104704 has 112 divisors (see below), whose sum is σ = 439765440. Its totient is φ = 41541120.

The previous prime is 137104673. The next prime is 137104717. The reversal of 137104704 is 407401731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15402 + ... + 22614.

Almost surely, 2137104704 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 137104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219882720).

137104704 is an abundant number, since it is smaller than the sum of its proper divisors (302660736).

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

137104704 is a wasteful number, since it uses less digits than its factorization.

137104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137104704 is about 11709.1717896698. The cubic root of 137104704 is about 515.6449694084.

The spelling of 137104704 in words is "one hundred thirty-seven million, one hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 7213 9504 14426 19008 21639 28852 43278 57704 64917 79343 86556 115408 129834 158686 173112 194751 230816 238029 259668 317372 346224 389502 461632 476058 519336 634744 692448 714087 779004 952116 1038672 1269488 1384896 1428174 1558008 1904232 2077344 2142261 2538976 2856348 3116016 3808464 4154688 4284522 5077952 5712696 6232032 7616928 8569044 11425392 12464064 15233856 17138088 22850784 34276176 45701568 68552352 137104704