132434400 has 144 divisors (see below), whose sum is σ = 492718464. Its totient is φ = 30266880.

The previous prime is 132434381. The next prime is 132434417. The reversal of 132434400 is 4434231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12859 + ... + 20741.

It is an arithmetic number, because the mean of its divisors is an integer number (3421656).

Almost surely, 2^132434400 is an apocalyptic number.

132434400 is a gapful number since it is divisible by the number (10) 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 132434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246359232).

132434400 is an abundant number, since it is smaller than the sum of its proper divisors (360284064).

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

132434400 is a wasteful number, since it uses less digits than its factorization.

132434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132434400 is about 11508.0145985309. The cubic root of 132434400 is about 509.7222632330.

Adding to 132434400 its reverse (4434231), we get a palindrome (136868631).

The spelling of 132434400 in words is "one hundred thirty-two million, four hundred thirty-four thousand, four hundred".