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137465860 = 22571039533
BaseRepresentation
bin10000011000110…
…01000000000100
3100120122222201011
420030121000010
5240142401420
621350212004
73256304050
oct1014310004
9316588634
10137465860
1170661154
123a054004
1322630a5c
1414384c60
15c10595a
hex8319004

137465860 has 48 divisors (see below), whose sum is σ = 333156096. Its totient is φ = 46668672.

The previous prime is 137465851. The next prime is 137465899. The reversal of 137465860 is 68564731.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9654 + ... + 19186.

It is an arithmetic number, because the mean of its divisors is an integer number (6940752).

Almost surely, 2137465860 is an apocalyptic number.

137465860 is a gapful number since it is divisible by the number (10) 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 137465860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166578048).

137465860 is an abundant number, since it is smaller than the sum of its proper divisors (195690236).

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

137465860 is a wasteful number, since it uses less digits than its factorization.

137465860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 137465860 is about 11724.5835746947. The cubic root of 137465860 is about 516.0973365642.

The spelling of 137465860 in words is "one hundred thirty-seven million, four hundred sixty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 9533 14420 19066 38132 47665 66731 95330 133462 190660 266924 333655 667310 981899 1334620 1963798 3927596 4909495 6873293 9818990 13746586 19637980 27493172 34366465 68732930 137465860