132076800 has 162 divisors, whose sum is σ = 472410302. Its totient is φ = 35205120.

The previous prime is 132076799. The next prime is 132076807. The reversal of 132076800 is 8670231.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 129413376 = 1632^2 + 11376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132076807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56454 + ... + 58746.

Almost surely, 2^132076800 is an apocalyptic number.

132076800 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 132076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236205151).

132076800 is an abundant number, since it is smaller than the sum of its proper divisors (340333502).

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

132076800 is a wasteful number, since it uses less digits than its factorization.

132076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132076800 is about 11492.4670980604. The cubic root of 132076800 is about 509.2630648441.

The spelling of 132076800 in words is "one hundred thirty-two million, seventy-six thousand, eight hundred".