131185337625 has 24 divisors (see below), whose sum is σ = 236483437320. Its totient is φ = 69965512800.

The previous prime is 131185337611. The next prime is 131185337653. The reversal of 131185337625 is 526733581131.

131185337625 is a `hidden beast` number, since 1 + 3 + 1 + 18 + 5 + 3 + 3 + 7 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8850481929 + 122334855696 = 94077^2 + 349764^2 .

It is not a de Polignac number, because 131185337625 - 2⁵ = 131185337593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 58303470 + ... + 58305719.

It is an arithmetic number, because the mean of its divisors is an integer number (9853476555).

Almost surely, 2^131185337625 is an apocalyptic number.

131185337625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131185337625 is a deficient number, since it is larger than the sum of its proper divisors (105298099695).

131185337625 is a wasteful number, since it uses less digits than its factorization.

131185337625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116609210 (or 116609197 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 131185337625 in words is "one hundred thirty-one billion, one hundred eighty-five million, three hundred thirty-seven thousand, six hundred twenty-five".