132431616 has 108 divisors (see below), whose sum is σ = 385028280. Its totient is φ = 43776000.

The previous prime is 132431609. The next prime is 132431627. The reversal of 132431616 is 616134231.

132431616 is a `hidden beast` number, since 1 + 3 + 2 + 43 + 1 + 616 = 666.

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 132431616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527491 + ... + 527741.

Almost surely, 2^132431616 is an apocalyptic number.

132431616 is a gapful number since it is divisible by the number (16) 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 132431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192514140).

132431616 is an abundant number, since it is smaller than the sum of its proper divisors (252596664).

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

132431616 is a wasteful number, since it uses less digits than its factorization.

132431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 132431616 is about 11507.8936387160. The cubic root of 132431616 is about 509.7186914603.

Adding to 132431616 its reverse (616134231), we get a palindrome (748565847).

The spelling of 132431616 in words is "one hundred thirty-two million, four hundred thirty-one thousand, six hundred sixteen".