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137320664 = 23131320391
BaseRepresentation
bin10000010111101…
…01100011011000
3100120101121112112
420023311203120
5240123230124
621343131452
73255130535
oct1013654330
9316347475
10137320664
1170572058
1239ba3b88
13225ac940
1414347d8c
15c0c790e
hex82f58d8

137320664 has 16 divisors (see below), whose sum is σ = 277282320. Its totient is φ = 63378720.

The previous prime is 137320661. The next prime is 137320751. The reversal of 137320664 is 466023731.

It is a super-2 number, since 2×1373206642 = 37713929522801792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137320664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137320661) 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 3 ways as a sum of consecutive naturals, for example, 660092 + ... + 660299.

It is an arithmetic number, because the mean of its divisors is an integer number (17330145).

Almost surely, 2137320664 is an apocalyptic number.

It is an amenable number.

137320664 is an abundant number, since it is smaller than the sum of its proper divisors (139961656).

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

137320664 is a wasteful number, since it uses less digits than its factorization.

137320664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320410 (or 1320406 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 137320664 is about 11718.3899918035. The cubic root of 137320664 is about 515.9155661779.

The spelling of 137320664 in words is "one hundred thirty-seven million, three hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 1320391 2640782 5281564 10563128 17165083 34330166 68660332 137320664