131937960 has 256 divisors, whose sum is σ = 501811200. Its totient is φ = 26956800.

The previous prime is 131937947. The next prime is 131937973. The reversal of 131937960 is 69739131.

It is an interprime number because it is at equal distance from previous prime (131937947) and next prime (131937973).

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, 1007095 + ... + 1007225.

It is an arithmetic number, because the mean of its divisors is an integer number (1960200).

Almost surely, 2^131937960 is an apocalyptic number.

131937960 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 131937960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250905600).

131937960 is an abundant number, since it is smaller than the sum of its proper divisors (369873240).

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

131937960 is a wasteful number, since it uses less digits than its factorization.

131937960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 131937960 is about 11486.4250313141. The cubic root of 131937960 is about 509.0845553861.

The spelling of 131937960 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, nine hundred sixty".