131948096407188 has 48 divisors (see below), whose sum is σ = 308923991384064. Its totient is φ = 43833497764320.

The previous prime is 131948096407181. The next prime is 131948096407207. The reversal of 131948096407188 is 881704690849131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131948096407181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4491231 + ... + 16854297.

It is an arithmetic number, because the mean of its divisors is an integer number (6435916487168).

Almost surely, 2^{131948096407188} is an apocalyptic number.

It is an amenable number.

131948096407188 is an abundant number, since it is smaller than the sum of its proper divisors (176975894976876).

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

131948096407188 is a wasteful number, since it uses less digits than its factorization.

131948096407188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366092 (or 12366090 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 131948096407188 in words is "one hundred thirty-one trillion, nine hundred forty-eight billion, ninety-six million, four hundred seven thousand, one hundred eighty-eight".