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137085756 = 223175691181
BaseRepresentation
bin10000010101111…
…00001100111100
3100112221200022020
420022330030330
5240043221011
621334120140
73253131633
oct1012741474
9315850266
10137085756
1170421615
1239ab0050
1322529a42
14142c651a
15c07d006
hex82bc33c

137085756 has 48 divisors (see below), whose sum is σ = 339564960. Its totient is φ = 42895360.

The previous prime is 137085749. The next prime is 137085761. The reversal of 137085756 is 657580731.

It is a congruent number.

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, 115486 + ... + 116666.

It is an arithmetic number, because the mean of its divisors is an integer number (7074270).

Almost surely, 2137085756 is an apocalyptic number.

It is an amenable number.

137085756 is an abundant number, since it is smaller than the sum of its proper divisors (202479204).

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

137085756 is a wasteful number, since it uses less digits than its factorization.

137085756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 137085756 is about 11708.3626523951. The cubic root of 137085756 is about 515.6212141063.

The spelling of 137085756 in words is "one hundred thirty-seven million, eighty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 569 1138 1181 1707 2276 2362 3414 3543 4724 6828 7086 9673 14172 19346 20077 29019 38692 40154 58038 60231 80308 116076 120462 240924 671989 1343978 2015967 2687956 4031934 8063868 11423813 22847626 34271439 45695252 68542878 137085756