131957532 has 96 divisors (see below), whose sum is σ = 408038400. Its totient is φ = 36058176.

The previous prime is 131957491. The next prime is 131957533. The reversal of 131957532 is 235759131.

131957532 is a `hidden beast` number, since 1 + 31 + 95 + 7 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131957533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13594 + ... + 21182.

It is an arithmetic number, because the mean of its divisors is an integer number (4250400).

Almost surely, 2^131957532 is an apocalyptic number.

131957532 is a gapful number since it is divisible by the number (12) 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 131957532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204019200).

131957532 is an abundant number, since it is smaller than the sum of its proper divisors (276080868).

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

131957532 is a wasteful number, since it uses less digits than its factorization.

131957532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7624 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 131957532 is about 11487.2769619262. The cubic root of 131957532 is about 509.1097270912.

The spelling of 131957532 in words is "one hundred thirty-one million, nine hundred fifty-seven thousand, five hundred thirty-two".