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131725908 = 223211332381
BaseRepresentation
bin1111101100111…
…11101001010100
3100011212100222100
413312133221110
5232210212113
621023202100
73156436356
oct766375124
9304770870
10131725908
11683a0696
1238146330
13213a1232
14136cd0d6
15b86ed73
hex7d9fa54

131725908 has 36 divisors (see below), whose sum is σ = 335930868. Its totient is φ = 43518720.

The previous prime is 131725889. The next prime is 131725927. The reversal of 131725908 is 809527131.

It is an interprime number because it is at equal distance from previous prime (131725889) and next prime (131725927).

It can be written as a sum of positive squares in 2 ways, for example, as 32285124 + 99440784 = 5682^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12123 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (9331413).

Almost surely, 2131725908 is an apocalyptic number.

131725908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131725908 is an abundant number, since it is smaller than the sum of its proper divisors (204204960).

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

131725908 is a wasteful number, since it uses less digits than its factorization.

131725908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32504 (or 32499 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131725908 is about 11477.1907712645. The cubic root of 131725908 is about 508.8116738896.

It can be divided in two parts, 1317 and 25908, that added together give a square (27225 = 1652).

The spelling of 131725908 in words is "one hundred thirty-one million, seven hundred twenty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 32381 64762 97143 129524 194286 291429 388572 582858 1165716 3659053 7318106 10977159 14636212 21954318 32931477 43908636 65862954 131725908