131546839680 has 192 divisors, whose sum is σ = 469911990600. Its totient is φ = 33869488128.

The previous prime is 131546839603. The next prime is 131546839691. The reversal of 131546839680 is 86938645131.

131546839680 is a `hidden beast` number, since 1 + 3 + 1 + 546 + 8 + 3 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58374425664 + 73172414016 = 241608^2 + 270504^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 226719 + ... + 560798.

Almost surely, 2^131546839680 is an apocalyptic number.

131546839680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131546839680 is an abundant number, since it is smaller than the sum of its proper divisors (338365150920).

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

131546839680 is a wasteful number, since it uses less digits than its factorization.

131546839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787571 (or 787556 counting only the distinct ones).

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

The spelling of 131546839680 in words is "one hundred thirty-one billion, five hundred forty-six million, eight hundred thirty-nine thousand, six hundred eighty".