131892494348160 has 3840 divisors, whose sum is σ = 625995477740160. Its totient is φ = 25817247645696.

The previous prime is 131892494348129. The next prime is 131892494348171. The reversal of 131892494348160 is 61843494298131.

131892494348160 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 2 + 4 + 94 + 3 + 481 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 76106458654 + ... + 76106460386.

Almost surely, 2^{131892494348160} is an apocalyptic number.

131892494348160 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 131892494348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312997738870080).

131892494348160 is an abundant number, since it is smaller than the sum of its proper divisors (494102983392000).

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

131892494348160 is a wasteful number, since it uses less digits than its factorization.

131892494348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 131892494348160 in words is "one hundred thirty-one trillion, eight hundred ninety-two billion, four hundred ninety-four million, three hundred forty-eight thousand, one hundred sixty".