132056400 has 240 divisors, whose sum is σ = 492032000. Its totient is φ = 29652480.

The previous prime is 132056387. The next prime is 132056411. The reversal of 132056400 is 4650231.

It is a happy number.

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, 663501 + ... + 663699.

Almost surely, 2^132056400 is an apocalyptic number.

132056400 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 132056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246016000).

132056400 is an abundant number, since it is smaller than the sum of its proper divisors (359975600).

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

132056400 is a wasteful number, since it uses less digits than its factorization.

132056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132056400 is about 11491.5795258963. The cubic root of 132056400 is about 509.2368439851.

The spelling of 132056400 in words is "one hundred thirty-two million, fifty-six thousand, four hundred".