131000179742136 has 80 divisors (see below), whose sum is σ = 388505435052240. Its totient is φ = 41098095601920.

The previous prime is 131000179742129. The next prime is 131000179742167. The reversal of 131000179742136 is 631247971000131.

131000179742136 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 1 + 7 + 97 + 421 + 36 = 666.

It is a super-2 number, since 2×131000179742136² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000179742091 and 131000179742100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5945894020 + ... + 5945916051.

It is an arithmetic number, because the mean of its divisors is an integer number (4856317938153).

Almost surely, 2^{131000179742136} is an apocalyptic number.

It is an amenable number.

131000179742136 is an abundant number, since it is smaller than the sum of its proper divisors (257505255310104).

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

131000179742136 is a wasteful number, since it uses less digits than its factorization.

131000179742136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891810106 (or 11891810093 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 131000179742136 in words is "one hundred thirty-one trillion, one hundred seventy-nine million, seven hundred forty-two thousand, one hundred thirty-six".