131646432 has 48 divisors (see below), whose sum is σ = 347375952. Its totient is φ = 43653120.

The previous prime is 131646401. The next prime is 131646433. The reversal of 131646432 is 234646131.

131646432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131646432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131646433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15432 + ... + 22392.

It is an arithmetic number, because the mean of its divisors is an integer number (7236999).

Almost surely, 2^131646432 is an apocalyptic number.

131646432 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 131646432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173687976).

131646432 is an abundant number, since it is smaller than the sum of its proper divisors (215729520).

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

131646432 is a wasteful number, since it uses less digits than its factorization.

131646432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7163 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 131646432 is about 11473.7279033451. The cubic root of 131646432 is about 508.7093238592.

The spelling of 131646432 in words is "one hundred thirty-one million, six hundred forty-six thousand, four hundred thirty-two".