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137664604 = 227112179227
BaseRepresentation
bin10000011010010…
…01100001011100
3100121001002100001
420031021201130
5240220231404
621354344044
73261062350
oct1015114134
9317032301
10137664604
1170787500
123a12b024
13226a035c
14143d7460
15c1447a4
hex834985c

137664604 has 72 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 53100960.

The previous prime is 137664601. The next prime is 137664607. The reversal of 137664604 is 406466731.

It is an interprime number because it is at equal distance from previous prime (137664601) and next prime (137664607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137664601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606339 + ... + 606565.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2137664604 is an apocalyptic number.

137664604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137664604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832960).

137664604 is an abundant number, since it is smaller than the sum of its proper divisors (168001316).

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

137664604 is a wasteful number, since it uses less digits than its factorization.

137664604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 137664604 is about 11733.0560383900. The cubic root of 137664604 is about 516.3459361249.

The spelling of 137664604 in words is "one hundred thirty-seven million, six hundred sixty-four thousand, six hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 179 227 242 308 358 454 484 716 847 908 1253 1589 1694 1969 2497 2506 3178 3388 3938 4994 5012 6356 7876 9988 13783 17479 21659 27467 27566 34958 40633 43318 54934 55132 69916 81266 86636 109868 151613 162532 192269 284431 303226 384538 446963 568862 606452 769076 893926 1137724 1787852 3128741 4916593 6257482 9833186 12514964 19666372 34416151 68832302 137664604