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131145138 = 2327285841
BaseRepresentation
bin1111101000100…
…01110110110010
3100010202212022100
413310101312302
5232033121023
621002521230
73151500225
oct764216662
9303685270
10131145138
1168034313
1237b06216
1321229a97
14135bb5bc
15b7a7c43
hex7d11db2

131145138 has 12 divisors (see below), whose sum is σ = 284147838. Its totient is φ = 43715040.

The previous prime is 131145127. The next prime is 131145143. The reversal of 131145138 is 831541131.

131145138 is a `hidden beast` number, since 131 + 14 + 513 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130713489 + 431649 = 11433^2 + 657^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3642903 + ... + 3642938.

Almost surely, 2131145138 is an apocalyptic number.

131145138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131145138 is an abundant number, since it is smaller than the sum of its proper divisors (153002700).

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

131145138 is a wasteful number, since it uses less digits than its factorization.

131145138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285849 (or 7285846 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 131145138 is about 11451.8617700355. The cubic root of 131145138 is about 508.0628009449.

Adding to 131145138 its reverse (831541131), we get a palindrome (962686269).

The spelling of 131145138 in words is "one hundred thirty-one million, one hundred forty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 7285841 14571682 21857523 43715046 65572569 131145138