131515591680 has 880 divisors, whose sum is σ = 520451813376. Its totient is φ = 31492177920.

The previous prime is 131515591663. The next prime is 131515591717. The reversal of 131515591680 is 86195515131.

131515591680 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 559 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

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 79 ways as a sum of consecutive naturals, for example, 579363727 + ... + 579363953.

Almost surely, 2^131515591680 is an apocalyptic number.

131515591680 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 131515591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260225906688).

131515591680 is an abundant number, since it is smaller than the sum of its proper divisors (388936221696).

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

131515591680 is a wasteful number, since it uses less digits than its factorization.

131515591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 131515591680 in words is "one hundred thirty-one billion, five hundred fifteen million, five hundred ninety-one thousand, six hundred eighty".