132112400 has 120 divisors (see below), whose sum is σ = 375481920. Its totient is φ = 43706880.

The previous prime is 132112399. The next prime is 132112427. The reversal of 132112400 is 4211231.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 80387 + ... + 82013.

It is an arithmetic number, because the mean of its divisors is an integer number (3129016).

Almost surely, 2^132112400 is an apocalyptic number.

132112400 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 132112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187740960).

132112400 is an abundant number, since it is smaller than the sum of its proper divisors (243369520).

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

132112400 is a wasteful number, since it uses less digits than its factorization.

132112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132112400 is about 11494.0158343374. The cubic root of 132112400 is about 509.3088163474.

Adding to 132112400 its reverse (4211231), we get a palindrome (136323631).

The spelling of 132112400 in words is "one hundred thirty-two million, one hundred twelve thousand, four hundred".