131540580864 has 480 divisors, whose sum is σ = 488620154880. Its totient is φ = 33061478400.

The previous prime is 131540580863. The next prime is 131540580869. The reversal of 131540580864 is 468085045131.

131540580864 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 0 + 580 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (131540580863) 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 47 ways as a sum of consecutive naturals, for example, 10993317 + ... + 11005275.

It is an arithmetic number, because the mean of its divisors is an integer number (1017958656).

Almost surely, 2^131540580864 is an apocalyptic number.

131540580864 is a gapful number since it is divisible by the number (14) 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 131540580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244310077440).

131540580864 is an abundant number, since it is smaller than the sum of its proper divisors (357079574016).

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

131540580864 is a wasteful number, since it uses less digits than its factorization.

131540580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12013 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 131540580864 in words is "one hundred thirty-one billion, five hundred forty million, five hundred eighty thousand, eight hundred sixty-four".