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137468604 = 223713125887
BaseRepresentation
bin10000011000110…
…01101010111100
3100120200010110210
420030121222330
5240142443404
621350232420
73256315050
oct1014315274
9316603423
10137468604
1170663219
123a055710
1322632090
1414385c60
15c106689
hex8319abc

137468604 has 48 divisors (see below), whose sum is σ = 394784768. Its totient is φ = 36255168.

The previous prime is 137468593. The next prime is 137468609. The reversal of 137468604 is 406864731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137468609) 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, 61852 + ... + 64035.

Almost surely, 2137468604 is an apocalyptic number.

137468604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137468604 is an abundant number, since it is smaller than the sum of its proper divisors (257316164).

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

137468604 is a wasteful number, since it uses less digits than its factorization.

137468604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125914 (or 125912 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 137468604 is about 11724.7005931921. The cubic root of 137468604 is about 516.1007705360.

The spelling of 137468604 in words is "one hundred thirty-seven million, four hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 125887 251774 377661 503548 755322 881209 1510644 1636531 1762418 2643627 3273062 3524836 4909593 5287254 6546124 9819186 10574508 11455717 19638372 22911434 34367151 45822868 68734302 137468604