132268800 has 162 divisors, whose sum is σ = 441837172. Its totient is φ = 34846720.

The previous prime is 132268783. The next prime is 132268813. The reversal of 132268800 is 8862231.

132268800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1593559 + ... + 1593641.

Almost surely, 2^132268800 is an apocalyptic number.

132268800 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 132268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220918586).

132268800 is an abundant number, since it is smaller than the sum of its proper divisors (309568372).

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

132268800 is an frugal number, since it uses more digits than its factorization.

132268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 132268800 is about 11500.8173622573. The cubic root of 132268800 is about 509.5097172122.

The spelling of 132268800 in words is "one hundred thirty-two million, two hundred sixty-eight thousand, eight hundred".