131791994880 has 960 divisors, whose sum is σ = 532693905408. Its totient is φ = 27084718080.

The previous prime is 131791994857. The next prime is 131791994903. The reversal of 131791994880 is 88499197131.

It is an interprime number because it is at equal distance from previous prime (131791994857) and next prime (131791994903).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1587855319 + ... + 1587855401.

Almost surely, 2^131791994880 is an apocalyptic number.

131791994880 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 131791994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266346952704).

131791994880 is an abundant number, since it is smaller than the sum of its proper divisors (400901910528).

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

131791994880 is an equidigital number, since it uses as much as digits as its factorization.

131791994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 131791994880 in words is "one hundred thirty-one billion, seven hundred ninety-one million, nine hundred ninety-four thousand, eight hundred eighty".