131357952 has 216 divisors, whose sum is σ = 424726848. Its totient is φ = 38707200.

The previous prime is 131357921. The next prime is 131357957. The reversal of 131357952 is 259753131.

131357952 is a `hidden beast` number, since 1 + 31 + 3 + 579 + 52 = 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 (131357957) 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, 1799388 + ... + 1799460.

It is an arithmetic number, because the mean of its divisors is an integer number (1966328).

Almost surely, 2^131357952 is an apocalyptic number.

131357952 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 131357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212363424).

131357952 is an abundant number, since it is smaller than the sum of its proper divisors (293368896).

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

131357952 is a wasteful number, since it uses less digits than its factorization.

131357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

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

The square root of 131357952 is about 11461.1496805512. The cubic root of 131357952 is about 508.3374697743.

The spelling of 131357952 in words is "one hundred thirty-one million, three hundred fifty-seven thousand, nine hundred fifty-two".