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131337138 = 23177431733
BaseRepresentation
bin1111101010000…
…00101110110010
3100011010121200110
413311000232302
5232110242023
621011002150
73153230052
oct765005662
9304117613
10131337138
1168155599
1237b99356
13212962aa
141362b562
15b7e4a93
hex7d40bb2

131337138 has 32 divisors (see below), whose sum is σ = 278660736. Its totient is φ = 41124608.

The previous prime is 131337137. The next prime is 131337163. The reversal of 131337138 is 831733131.

It is not an unprimeable number, because it can be changed into a prime (131337137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74920 + ... + 76652.

It is an arithmetic number, because the mean of its divisors is an integer number (8708148).

Almost surely, 2131337138 is an apocalyptic number.

131337138 is an abundant number, since it is smaller than the sum of its proper divisors (147323598).

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

131337138 is a wasteful number, since it uses less digits than its factorization.

131337138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498.

The product of its digits is 4536, while the sum is 30.

The square root of 131337138 is about 11460.2416204895. The cubic root of 131337138 is about 508.3106192365.

The spelling of 131337138 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 17 34 51 102 743 1486 1733 2229 3466 4458 5199 10398 12631 25262 29461 37893 58922 75786 88383 176766 1287619 2575238 3862857 7725714 21889523 43779046 65668569 131337138