133305264432400 has 120 divisors (see below), whose sum is σ = 332275219524864. Its totient is φ = 51340097625600.

The previous prime is 133305264432289. The next prime is 133305264432401. The reversal of 133305264432400 is 4234462503331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133305264432401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24842542 + ... + 29728141.

Almost surely, 2^{133305264432400} is an apocalyptic number.

133305264432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133305264432400 is an abundant number, since it is smaller than the sum of its proper divisors (198969955092464).

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

133305264432400 is a wasteful number, since it uses less digits than its factorization.

133305264432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54570929 (or 54570918 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

The spelling of 133305264432400 in words is "one hundred thirty-three trillion, three hundred five billion, two hundred sixty-four million, four hundred thirty-two thousand, four hundred".