131502763857920 has 768 divisors, whose sum is σ = 391060680192000. Its totient is φ = 41328439197696.

The previous prime is 131502763857901. The next prime is 131502763857973. The reversal of 131502763857920 is 29758367205131.

It is a self number, because there is not a number n which added to its sum of digits gives 131502763857920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116477203916 + ... + 116477205044.

It is an arithmetic number, because the mean of its divisors is an integer number (509193594000).

Almost surely, 2^{131502763857920} is an apocalyptic number.

131502763857920 is a gapful number since it is divisible by the number (10) 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 131502763857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195530340096000).

131502763857920 is an abundant number, since it is smaller than the sum of its proper divisors (259557916334080).

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

131502763857920 is a wasteful number, since it uses less digits than its factorization.

131502763857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 59.

The spelling of 131502763857920 in words is "one hundred thirty-one trillion, five hundred two billion, seven hundred sixty-three million, eight hundred fifty-seven thousand, nine hundred twenty".