132300800 has 180 divisors, whose sum is σ = 365679720. Its totient is φ = 47185920.

The previous prime is 132300799. The next prime is 132300803. The reversal of 132300800 is 8003231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300803) 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, 6963191 + ... + 6963209.

It is an arithmetic number, because the mean of its divisors is an integer number (2031554).

Almost surely, 2^132300800 is an apocalyptic number.

132300800 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 132300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182839860).

132300800 is an abundant number, since it is smaller than the sum of its proper divisors (233378920).

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

132300800 is an equidigital number, since it uses as much as digits as its factorization.

132300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132300800 is about 11502.2084835913. The cubic root of 132300800 is about 509.5508027297.

The spelling of 132300800 in words is "one hundred thirty-two million, three hundred thousand, eight hundred".