132812400 has 240 divisors, whose sum is σ = 494246144. Its totient is φ = 29859840.

The previous prime is 132812377. The next prime is 132812429. The reversal of 132812400 is 4218231.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 814719 + ... + 814881.

Almost surely, 2^132812400 is an apocalyptic number.

132812400 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 132812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247123072).

132812400 is an abundant number, since it is smaller than the sum of its proper divisors (361433744).

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

132812400 is a wasteful number, since it uses less digits than its factorization.

132812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132812400 is about 11524.4262330061. The cubic root of 132812400 is about 510.2067596877.

The spelling of 132812400 in words is "one hundred thirty-two million, eight hundred twelve thousand, four hundred".