131394368880 has 60 divisors (see below), whose sum is σ = 441266091240. Its totient is φ = 35038498176.

The previous prime is 131394368851. The next prime is 131394368921. The reversal of 131394368880 is 88863493131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×131394368880³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91245370 + ... + 91246809.

It is an arithmetic number, because the mean of its divisors is an integer number (7354434854).

Almost surely, 2^131394368880 is an apocalyptic number.

131394368880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131394368880 is an abundant number, since it is smaller than the sum of its proper divisors (309871722360).

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

131394368880 is a wasteful number, since it uses less digits than its factorization.

131394368880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182492198 (or 182492189 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 131394368880 in words is "one hundred thirty-one billion, three hundred ninety-four million, three hundred sixty-eight thousand, eight hundred eighty".