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137026860 = 223519120199
BaseRepresentation
bin10000010101011…
…01110100101100
3100112211200111220
420022231310230
5240034324420
621332543340
73252465135
oct1012556454
9315750456
10137026860
1170391343
1239a81b50
1322508ca9
14142acc8c
15c06a840
hex82add2c

137026860 has 48 divisors (see below), whose sum is σ = 403872000. Its totient is φ = 34617024.

The previous prime is 137026837. The next prime is 137026871. The reversal of 137026860 is 68620731.

It is a super-2 number, since 2×1370268602 = 37552720722919200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58960 + ... + 61239.

It is an arithmetic number, because the mean of its divisors is an integer number (8414000).

Almost surely, 2137026860 is an apocalyptic number.

137026860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137026860 is an abundant number, since it is smaller than the sum of its proper divisors (266845140).

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

137026860 is a wasteful number, since it uses less digits than its factorization.

137026860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120230 (or 120228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 137026860 is about 11705.8472568200. The cubic root of 137026860 is about 515.5473616071.

The spelling of 137026860 in words is "one hundred thirty-seven million, twenty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 120199 240398 360597 480796 600995 721194 1201990 1442388 1802985 2283781 2403980 3605970 4567562 6851343 7211940 9135124 11418905 13702686 22837810 27405372 34256715 45675620 68513430 137026860