131908008960 has 1056 divisors, whose sum is σ = 570812336640. Its totient is φ = 27423277056.

The previous prime is 131908008949. The next prime is 131908008961. The reversal of 131908008960 is 69800809131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131908008961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 348042051 + ... + 348042429.

Almost surely, 2^131908008960 is an apocalyptic number.

131908008960 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 131908008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285406168320).

131908008960 is an abundant number, since it is smaller than the sum of its proper divisors (438904327680).

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

131908008960 is a wasteful number, since it uses less digits than its factorization.

131908008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 131908008960 in words is "one hundred thirty-one billion, nine hundred eight million, eight thousand, nine hundred sixty".