131390532 has 192 divisors, whose sum is σ = 434649600. Its totient is φ = 33384960.

The previous prime is 131390507. The next prime is 131390563. The reversal of 131390532 is 235093131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131390496 and 131390505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284782 + ... + 285242.

It is an arithmetic number, because the mean of its divisors is an integer number (2263800).

Almost surely, 2^131390532 is an apocalyptic number.

131390532 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 131390532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

131390532 is an abundant number, since it is smaller than the sum of its proper divisors (303259068).

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

131390532 is a wasteful number, since it uses less digits than its factorization.

131390532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131390532 is about 11462.5709158112. The cubic root of 131390532 is about 508.3794930283.

The spelling of 131390532 in words is "one hundred thirty-one million, three hundred ninety thousand, five hundred thirty-two".