132406200 has 144 divisors (see below), whose sum is σ = 470929680. Its totient is φ = 33223680.

The previous prime is 132406171. The next prime is 132406213. The reversal of 132406200 is 2604231.

It is a happy number.

132406200 is a `hidden beast` number, since 1 + 3 + 2 + 40 + 620 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 28437 + ... + 32763.

It is an arithmetic number, because the mean of its divisors is an integer number (3270345).

Almost surely, 2^132406200 is an apocalyptic number.

132406200 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 132406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235464840).

132406200 is an abundant number, since it is smaller than the sum of its proper divisors (338523480).

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

132406200 is a wasteful number, since it uses less digits than its factorization.

132406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132406200 is about 11506.7893002349. The cubic root of 132406200 is about 509.6860813241.

The spelling of 132406200 in words is "one hundred thirty-two million, four hundred six thousand, two hundred".