131639452560 has 1440 divisors, whose sum is σ = 611404617600. Its totient is φ = 25866086400.

The previous prime is 131639452547. The next prime is 131639452561. The reversal of 131639452560 is 65254936131.

131639452560 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 39 + 4 + 52 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131639452561) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 243325890 + ... + 243326430.

It is an arithmetic number, because the mean of its divisors is an integer number (424586540).

Almost surely, 2^131639452560 is an apocalyptic number.

131639452560 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 131639452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305702308800).

131639452560 is an abundant number, since it is smaller than the sum of its proper divisors (479765165040).

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

131639452560 is a wasteful number, since it uses less digits than its factorization.

131639452560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 131639452560 in words is "one hundred thirty-one billion, six hundred thirty-nine million, four hundred fifty-two thousand, five hundred sixty".