131142960 has 120 divisors (see below), whose sum is σ = 474334224. Its totient is φ = 32279040.

The previous prime is 131142943. The next prime is 131142961. The reversal of 131142960 is 69241131.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (131142961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2355 + ... + 16365.

Almost surely, 2^131142960 is an apocalyptic number.

131142960 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 131142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237167112).

131142960 is an abundant number, since it is smaller than the sum of its proper divisors (343191264).

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

131142960 is a wasteful number, since it uses less digits than its factorization.

131142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131142960 is about 11451.7666759326. The cubic root of 131142960 is about 508.0599883692.

The spelling of 131142960 in words is "one hundred thirty-one million, one hundred forty-two thousand, nine hundred sixty".