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131687157 = 3721947149
BaseRepresentation
bin1111101100101…
…10001011110101
3100011210101211010
413312112023311
5232202442112
621022302433
73156215400
oct766261365
9304711733
10131687157
1168374568
1238127a19
13213896c4
14136bcd37
15b86363c
hex7d962f5

131687157 has 24 divisors (see below), whose sum is σ = 215004000. Its totient is φ = 71287776.

The previous prime is 131687141. The next prime is 131687161. The reversal of 131687157 is 751786131.

It is not a de Polignac number, because 131687157 - 24 = 131687141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131687177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20782 + ... + 26367.

It is an arithmetic number, because the mean of its divisors is an integer number (8958500).

Almost surely, 2131687157 is an apocalyptic number.

It is an amenable number.

131687157 is a deficient number, since it is larger than the sum of its proper divisors (83316843).

131687157 is a wasteful number, since it uses less digits than its factorization.

131687157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47185 (or 47178 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 131687157 is about 11475.5024726589. The cubic root of 131687157 is about 508.7617750878.

The spelling of 131687157 in words is "one hundred thirty-one million, six hundred eighty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 47149 141447 330043 895831 990129 2310301 2687493 6270817 6930903 18812451 43895719 131687157