131904564089760 has 1152 divisors, whose sum is σ = 598885242568704. Its totient is φ = 25593293537280.

The previous prime is 131904564089747. The next prime is 131904564089801. The reversal of 131904564089760 is 67980465409131.

131904564089760 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 4 + 564 + 0 + 8 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239114419 + ... + 239665421.

It is an arithmetic number, because the mean of its divisors is an integer number (519865661952).

Almost surely, 2^{131904564089760} is an apocalyptic number.

131904564089760 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 131904564089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299442621284352).

131904564089760 is an abundant number, since it is smaller than the sum of its proper divisors (466980678478944).

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

131904564089760 is a wasteful number, since it uses less digits than its factorization.

131904564089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551186 (or 551175 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 131904564089760 in words is "one hundred thirty-one trillion, nine hundred four billion, five hundred sixty-four million, eighty-nine thousand, seven hundred sixty".