132223134342400 has 432 divisors, whose sum is σ = 344709943401600. Its totient is φ = 50139690926080.

The previous prime is 132223134342349. The next prime is 132223134342401. The reversal of 132223134342400 is 4243431322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223134342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9712997994 + ... + 9713011606.

It is an arithmetic number, because the mean of its divisors is an integer number (797939683800).

Almost surely, 2^{132223134342400} is an apocalyptic number.

132223134342400 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 132223134342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354971700800).

132223134342400 is an abundant number, since it is smaller than the sum of its proper divisors (212486809059200).

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

132223134342400 is a wasteful number, since it uses less digits than its factorization.

132223134342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14614 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 132223134342400 its reverse (4243431322231), we get a palindrome (136466565664631).

The spelling of 132223134342400 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, one hundred thirty-four million, three hundred forty-two thousand, four hundred".