132023133223200 has 432 divisors, whose sum is σ = 471380791026600. Its totient is φ = 34767698903040.

The previous prime is 132023133223187. The next prime is 132023133223249. The reversal of 132023133223200 is 2322331320231.

132023133223200 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 3 + 1 + 332 + 2 + 320 + 0 = 666.

132023133223200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 563058138384 + 131460075084816 = 750372^2 + 11465604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185238724 + ... + 185950076.

Almost surely, 2^{132023133223200} is an apocalyptic number.

132023133223200 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 132023133223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235690395513300).

132023133223200 is an abundant number, since it is smaller than the sum of its proper divisors (339357657803400).

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

132023133223200 is a wasteful number, since it uses less digits than its factorization.

132023133223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711701 (or 711685 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132023133223200 its reverse (2322331320231), we get a palindrome (134345464543431).

The spelling of 132023133223200 in words is "one hundred thirty-two trillion, twenty-three billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred".