131415616720 has 40 divisors (see below), whose sum is σ = 308566489320. Its totient is φ = 52045785600.

The previous prime is 131415616687. The next prime is 131415616727. The reversal of 131415616720 is 27616514131.

It can be written as a sum of positive squares in 4 ways, for example, as 89362732096 + 42052884624 = 298936^2 + 205068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 131415616720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415616727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8124075 + ... + 8140234.

It is an arithmetic number, because the mean of its divisors is an integer number (7714162233).

Almost surely, 2^131415616720 is an apocalyptic number.

131415616720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131415616720 is an abundant number, since it is smaller than the sum of its proper divisors (177150872600).

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

131415616720 is a wasteful number, since it uses less digits than its factorization.

131415616720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264423 (or 16264417 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 131415616720 in words is "one hundred thirty-one billion, four hundred fifteen million, six hundred sixteen thousand, seven hundred twenty".