132180800 has 42 divisors (see below), whose sum is σ = 325251318. Its totient is φ = 52871680.

The previous prime is 132180787. The next prime is 132180803. The reversal of 132180800 is 8081231.

132180800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18800896 + 113379904 = 4336^2 + 10648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132180803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39707 + ... + 42906.

It is an arithmetic number, because the mean of its divisors is an integer number (7744079).

Almost surely, 2^132180800 is an apocalyptic number.

132180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132180800 is an abundant number, since it is smaller than the sum of its proper divisors (193070518).

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

132180800 is an equidigital number, since it uses as much as digits as its factorization.

132180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82635 (or 82620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 132180800 is about 11496.9909106688. The cubic root of 132180800 is about 509.3966978600.

The spelling of 132180800 in words is "one hundred thirty-two million, one hundred eighty thousand, eight hundred".