132122400 has 72 divisors (see below), whose sum is σ = 430066224. Its totient is φ = 35232000.

The previous prime is 132122387. The next prime is 132122429. The reversal of 132122400 is 4221231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132122400.

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, 25126 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (5973142).

Almost surely, 2^132122400 is an apocalyptic number.

132122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122400 is an abundant number, since it is smaller than the sum of its proper divisors (297943824).

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

132122400 is a wasteful number, since it uses less digits than its factorization.

132122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55074 (or 55061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132122400 is about 11494.4508350769. The cubic root of 132122400 is about 509.3216664147.

Adding to 132122400 its reverse (4221231), we get a palindrome (136343631).

The spelling of 132122400 in words is "one hundred thirty-two million, one hundred twenty-two thousand, four hundred".