131125960 has 96 divisors (see below), whose sum is σ = 346275000. Its totient is φ = 44556288.

The previous prime is 131125927. The next prime is 131125979. The reversal of 131125960 is 69521131.

It can be written as a sum of positive squares in 4 ways, for example, as 86155524 + 44970436 = 9282^2 + 6706^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291816 + ... + 292264.

Almost surely, 2^131125960 is an apocalyptic number.

131125960 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 131125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173137500).

131125960 is an abundant number, since it is smaller than the sum of its proper divisors (215149040).

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

131125960 is a wasteful number, since it uses less digits than its factorization.

131125960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 131125960 is about 11451.0244083226. The cubic root of 131125960 is about 508.0380342284.

The spelling of 131125960 in words is "one hundred thirty-one million, one hundred twenty-five thousand, nine hundred sixty".