131252352 has 256 divisors, whose sum is σ = 455915520. Its totient is φ = 32440320.

The previous prime is 131252311. The next prime is 131252353. The reversal of 131252352 is 253252131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252353) 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, 679968 + ... + 680160.

It is an arithmetic number, because the mean of its divisors is an integer number (1780920).

Almost surely, 2^131252352 is an apocalyptic number.

131252352 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 131252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227957760).

131252352 is an abundant number, since it is smaller than the sum of its proper divisors (324663168).

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

131252352 is a wasteful number, since it uses less digits than its factorization.

131252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 131252352 is about 11456.5418866253. The cubic root of 131252352 is about 508.2012140264.

The spelling of 131252352 in words is "one hundred thirty-one million, two hundred fifty-two thousand, three hundred fifty-two".