131531707440 has 600 divisors, whose sum is σ = 533303076240. Its totient is φ = 29957630976.

The previous prime is 131531707429. The next prime is 131531707511. The reversal of 131531707440 is 44707135131.

It is a happy number.

131531707440 is a `hidden beast` number, since 13 + 1 + 531 + 7 + 0 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131531707395 and 131531707404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 120339534 + ... + 120340626.

Almost surely, 2^131531707440 is an apocalyptic number.

131531707440 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 131531707440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266651538120).

131531707440 is an abundant number, since it is smaller than the sum of its proper divisors (401771368800).

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

131531707440 is a wasteful number, since it uses less digits than its factorization.

131531707440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 131531707440 in words is "one hundred thirty-one billion, five hundred thirty-one million, seven hundred seven thousand, four hundred forty".