131546432 has 42 divisors (see below), whose sum is σ = 264977118. Its totient is φ = 64793088.

The previous prime is 131546413. The next prime is 131546447. The reversal of 131546432 is 234645131.

It can be written as a sum of positive squares in 3 ways, for example, as 72318016 + 59228416 = 8504^2 + 7696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131546395 and 131546404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 760298 + ... + 760470.

It is an arithmetic number, because the mean of its divisors is an integer number (6308979).

Almost surely, 2^131546432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132488559).

131546432 is an abundant number, since it is smaller than the sum of its proper divisors (133430686).

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

131546432 is an equidigital number, since it uses as much as digits as its factorization.

131546432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 284 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 131546432 is about 11469.3692939063. The cubic root of 131546432 is about 508.5804842653.

The spelling of 131546432 in words is "one hundred thirty-one million, five hundred forty-six thousand, four hundred thirty-two".