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137875640 = 2357492413
BaseRepresentation
bin10000011011111…
…01000010111000
3100121102210211012
420031331002320
5240244010030
621403053052
73262631540
oct1015750270
9317383735
10137875640
1170911011
123a211188
1322745426
1414450320
15c187095
hex837d0b8

137875640 has 32 divisors (see below), whose sum is σ = 354538080. Its totient is φ = 47271552.

The previous prime is 137875603. The next prime is 137875643. The reversal of 137875640 is 46578731.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137875643) 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 7 ways as a sum of consecutive naturals, for example, 245927 + ... + 246486.

It is an arithmetic number, because the mean of its divisors is an integer number (11079315).

Almost surely, 2137875640 is an apocalyptic number.

137875640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137875640 is an abundant number, since it is smaller than the sum of its proper divisors (216662440).

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

137875640 is a wasteful number, since it uses less digits than its factorization.

137875640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492431 (or 492427 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 137875640 is about 11742.0458183402. The cubic root of 137875640 is about 516.6096493908.

The spelling of 137875640 in words is "one hundred thirty-seven million, eight hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 492413 984826 1969652 2462065 3446891 3939304 4924130 6893782 9848260 13787564 17234455 19696520 27575128 34468910 68937820 137875640