131148837499680 has 6912 divisors, whose sum is σ = 679898819174400. Its totient is φ = 22909962240000.

The previous prime is 131148837499633. The next prime is 131148837499717. The reversal of 131148837499680 is 86994738841131.

131148837499680 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 48 + 8 + 37 + 499 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 131148837499599 and 131148837499608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 868535347605 + ... + 868535347755.

It is an arithmetic number, because the mean of its divisors is an integer number (98364991200).

Almost surely, 2^{131148837499680} is an apocalyptic number.

131148837499680 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 131148837499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339949409587200).

131148837499680 is an abundant number, since it is smaller than the sum of its proper divisors (548749981674720).

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

131148837499680 is a wasteful number, since it uses less digits than its factorization.

131148837499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 131148837499680 in words is "one hundred thirty-one trillion, one hundred forty-eight billion, eight hundred thirty-seven million, four hundred ninety-nine thousand, six hundred eighty".