131496583680 has 1280 divisors, whose sum is σ = 601881477120. Its totient is φ = 26409369600.

The previous prime is 131496583663. The next prime is 131496583697. The reversal of 131496583680 is 86385694131.

131496583680 is a `hidden beast` number, since 13 + 1 + 49 + 6 + 583 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131496583663) and next prime (131496583697).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×131496583680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 164989042 + ... + 164989838.

It is an arithmetic number, because the mean of its divisors is an integer number (470219904).

Almost surely, 2^131496583680 is an apocalyptic number.

131496583680 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 131496583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300940738560).

131496583680 is an abundant number, since it is smaller than the sum of its proper divisors (470384893440).

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

131496583680 is a wasteful number, since it uses less digits than its factorization.

131496583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 131496583680 in words is "one hundred thirty-one billion, four hundred ninety-six million, five hundred eighty-three thousand, six hundred eighty".