132451200 has 480 divisors, whose sum is σ = 566250960. Its totient is φ = 29859840.

The previous prime is 132451183. The next prime is 132451219. The reversal of 132451200 is 2154231.

132451200 is a `hidden beast` number, since 13 + 2 + 451 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814364 + ... + 1814436.

Almost surely, 2^132451200 is an apocalyptic number.

132451200 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 132451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283125480).

132451200 is an abundant number, since it is smaller than the sum of its proper divisors (433799760).

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

132451200 is an equidigital number, since it uses as much as digits as its factorization.

132451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132451200 is about 11508.7445014650. The cubic root of 132451200 is about 509.7438159714.

It can be divided in two parts, 132451 and 200, that added together give a cube (132651 = 51³).

The spelling of 132451200 in words is "one hundred thirty-two million, four hundred fifty-one thousand, two hundred".