132225600 has 252 divisors, whose sum is σ = 472628976. Its totient is φ = 32348160.

The previous prime is 132225593. The next prime is 132225601. The reversal of 132225600 is 6522231.

It is not an unprimeable number, because it can be changed into a prime (132225601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811119 + ... + 811281.

Almost surely, 2^132225600 is an apocalyptic number.

132225600 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 132225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236314488).

132225600 is an abundant number, since it is smaller than the sum of its proper divisors (340403376).

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

132225600 is a wasteful number, since it uses less digits than its factorization.

132225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132225600 is about 11498.9390814979. The cubic root of 132225600 is about 509.4542412509.

Adding to 132225600 its reverse (6522231), we get a palindrome (138747831).

The spelling of 132225600 in words is "one hundred thirty-two million, two hundred twenty-five thousand, six hundred".