132280800 has 72 divisors (see below), whose sum is σ = 430581816. Its totient is φ = 35274240.

The previous prime is 132280781. The next prime is 132280807. The reversal of 132280800 is 8082231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132280807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25159 + ... + 29958.

It is an arithmetic number, because the mean of its divisors is an integer number (5980303).

Almost surely, 2^132280800 is an apocalyptic number.

132280800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132280800 is an abundant number, since it is smaller than the sum of its proper divisors (298301016).

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

132280800 is a wasteful number, since it uses less digits than its factorization.

132280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55140 (or 55127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 132280800 is about 11501.3390524756. The cubic root of 132280800 is about 509.5251250578.

The spelling of 132280800 in words is "one hundred thirty-two million, two hundred eighty thousand, eight hundred".