132968800 has 72 divisors (see below), whose sum is σ = 329322672. Its totient is φ = 52416000.

The previous prime is 132968779. The next prime is 132968809. The reversal of 132968800 is 8869231.

It is a self number, because there is not a number n which added to its sum of digits gives 132968800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132968809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55630 + ... + 57970.

It is an arithmetic number, because the mean of its divisors is an integer number (4573926).

Almost surely, 2^132968800 is an apocalyptic number.

132968800 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 132968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164661336).

132968800 is an abundant number, since it is smaller than the sum of its proper divisors (196353872).

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

132968800 is a wasteful number, since it uses less digits than its factorization.

132968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 132968800 is about 11531.2098237782. The cubic root of 132968800 is about 510.4069544360.

The spelling of 132968800 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, eight hundred".