132404400 has 90 divisors (see below), whose sum is σ = 459492540. Its totient is φ = 35306880.

The previous prime is 132404387. The next prime is 132404417. The reversal of 132404400 is 4404231.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14790 + ... + 21989.

Almost surely, 2^132404400 is an apocalyptic number.

132404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132404400 is an abundant number, since it is smaller than the sum of its proper divisors (327088140).

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

132404400 is a wasteful number, since it uses less digits than its factorization.

132404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36803 (or 36789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132404400 is about 11506.7110852754. The cubic root of 132404400 is about 509.6837716661.

Adding to 132404400 its reverse (4404231), we get a palindrome (136808631).

The spelling of 132404400 in words is "one hundred thirty-two million, four hundred four thousand, four hundred".