132201232400 has 180 divisors, whose sum is σ = 336007595700. Its totient is φ = 49978183680.

The previous prime is 132201232367. The next prime is 132201232469. The reversal of 132201232400 is 4232102231.

It can be written as a sum of positive squares in 6 ways, for example, as 7907344 + 132193325056 = 2812^2 + 363584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82162796 + ... + 82164404.

It is an arithmetic number, because the mean of its divisors is an integer number (1866708865).

Almost surely, 2^132201232400 is an apocalyptic number.

132201232400 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 132201232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168003797850).

132201232400 is an abundant number, since it is smaller than the sum of its proper divisors (203806363300).

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

132201232400 is a wasteful number, since it uses less digits than its factorization.

132201232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132201232400 its reverse (4232102231), we get a palindrome (136433334631).

The spelling of 132201232400 in words is "one hundred thirty-two billion, two hundred one million, two hundred thirty-two thousand, four hundred".