132872400 has 180 divisors, whose sum is σ = 478531872. Its totient is φ = 35406720.

The previous prime is 132872347. The next prime is 132872401. The reversal of 132872400 is 4278231.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132872401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96517 + ... + 97883.

Almost surely, 2^132872400 is an apocalyptic number.

132872400 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 132872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936).

132872400 is an abundant number, since it is smaller than the sum of its proper divisors (345659472).

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

132872400 is a wasteful number, since it uses less digits than its factorization.

132872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132872400 is about 11527.0291055415. The cubic root of 132872400 is about 510.2835793142.

The spelling of 132872400 in words is "one hundred thirty-two million, eight hundred seventy-two thousand, four hundred".