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131464137 = 3779109727
BaseRepresentation
bin1111101010111…
…11101111001001
3100011101001220010
413311133233021
5232123323022
621013422133
73154266240
oct765375711
9304331803
10131464137
1168231a52
123803a949
132130c03c
1413661957
15b81c50c
hex7d5fbc9

131464137 has 32 divisors (see below), whose sum is σ = 205004800. Its totient is φ = 73389888.

The previous prime is 131464129. The next prime is 131464141. The reversal of 131464137 is 731464131.

It is not a de Polignac number, because 131464137 - 23 = 131464129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131460137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180468 + ... + 181194.

It is an arithmetic number, because the mean of its divisors is an integer number (6406400).

Almost surely, 2131464137 is an apocalyptic number.

It is an amenable number.

131464137 is a deficient number, since it is larger than the sum of its proper divisors (73540663).

131464137 is a wasteful number, since it uses less digits than its factorization.

131464137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925.

The product of its digits is 6048, while the sum is 30.

The square root of 131464137 is about 11465.7811334422. The cubic root of 131464137 is about 508.4744067352.

The spelling of 131464137 in words is "one hundred thirty-one million, four hundred sixty-four thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 79 109 237 327 553 727 763 1659 2181 2289 5089 8611 15267 25833 57433 60277 79243 172299 180831 237729 402031 554701 1206093 1664103 6260197 18780591 43821379 131464137