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137160037 = 779972557
BaseRepresentation
bin10000010110011…
…10010101100101
3100120002110012101
420023032111211
5240103110122
621335452101
73253561330
oct1013162545
9316073171
10137160037
1170472403
1239b27031
13225547b1
1414305617
15c095027
hex82ce565

137160037 has 16 divisors (see below), whose sum is σ = 160437760. Its totient is φ = 114835968.

The previous prime is 137159989. The next prime is 137160059. The reversal of 137160037 is 730061731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137160037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137159987 and 137160014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137160077) by changing a digit.

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, 52363 + ... + 54919.

It is an arithmetic number, because the mean of its divisors is an integer number (10027360).

Almost surely, 2137160037 is an apocalyptic number.

It is an amenable number.

137160037 is a deficient number, since it is larger than the sum of its proper divisors (23277723).

137160037 is an equidigital number, since it uses as much as digits as its factorization.

137160037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 137160037 is about 11711.5343572053. The cubic root of 137160037 is about 515.7143284330.

The spelling of 137160037 in words is "one hundred thirty-seven million, one hundred sixty thousand, thirty-seven".

Divisors: 1 7 79 97 553 679 2557 7663 17899 53641 202003 248029 1414021 1736203 19594291 137160037