131971915264 has 80 divisors (see below), whose sum is σ = 302430259296. Its totient is φ = 56357683200.

The previous prime is 131971915247. The next prime is 131971915279. The reversal of 131971915264 is 462519179131.

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 7 ways as a sum of consecutive naturals, for example, 941584 + ... + 1072624.

Almost surely, 2^131971915264 is an apocalyptic number.

131971915264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131971915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151215129648).

131971915264 is an abundant number, since it is smaller than the sum of its proper divisors (170458344032).

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

131971915264 is an equidigital number, since it uses as much as digits as its factorization.

131971915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131347 (or 131331 counting only the distinct ones).

The product of its digits is 408240, while the sum is 49.

The spelling of 131971915264 in words is "one hundred thirty-one billion, nine hundred seventy-one million, nine hundred fifteen thousand, two hundred sixty-four".