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137560164 = 22374734843
BaseRepresentation
bin10000011001100…
…00000001100100
3100120211210001220
420030300001210
5240203411124
621352220340
73260146020
oct1014600144
9316753056
10137560164
1170715a95
123a09a6b0
1322664961
14143ab380
15c123879
hex8330064

137560164 has 48 divisors (see below), whose sum is σ = 374642688. Its totient is φ = 38465568.

The previous prime is 137560153. The next prime is 137560183. The reversal of 137560164 is 461065731.

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, 13474 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (7805056).

Almost surely, 2137560164 is an apocalyptic number.

137560164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137560164 is an abundant number, since it is smaller than the sum of its proper divisors (237082524).

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

137560164 is a wasteful number, since it uses less digits than its factorization.

137560164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34904 (or 34902 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 137560164 is about 11728.6045205728. The cubic root of 137560164 is about 516.2153268733.

The spelling of 137560164 in words is "one hundred thirty-seven million, five hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 34843 69686 104529 139372 209058 243901 418116 487802 731703 975604 1463406 1637621 2926812 3275242 4912863 6550484 9825726 11463347 19651452 22926694 34390041 45853388 68780082 137560164