132906800 has 120 divisors (see below), whose sum is σ = 350342160. Its totient is φ = 48153600.

The previous prime is 132906773. The next prime is 132906803. The reversal of 132906800 is 8609231.

It is not an unprimeable number, because it can be changed into a prime (132906803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316991 + ... + 317409.

It is an arithmetic number, because the mean of its divisors is an integer number (2919518).

Almost surely, 2^132906800 is an apocalyptic number.

132906800 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 132906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175171080).

132906800 is an abundant number, since it is smaller than the sum of its proper divisors (217435360).

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

132906800 is a wasteful number, since it uses less digits than its factorization.

132906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 132906800 is about 11528.5211540770. The cubic root of 132906800 is about 510.3276121368.

The spelling of 132906800 in words is "one hundred thirty-two million, nine hundred six thousand, eight hundred".