133672129612800 has 528 divisors, whose sum is σ = 443031634874880. Its totient is φ = 35546155581440.

The previous prime is 133672129612759. The next prime is 133672129612817. The reversal of 133672129612800 is 8216921276331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64049893357 + ... + 64049895443.

Almost surely, 2^{133672129612800} is an apocalyptic number.

133672129612800 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 133672129612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221515817437440).

133672129612800 is an abundant number, since it is smaller than the sum of its proper divisors (309359505262080).

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

133672129612800 is a wasteful number, since it uses less digits than its factorization.

133672129612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 133672129612800 in words is "one hundred thirty-three trillion, six hundred seventy-two billion, one hundred twenty-nine million, six hundred twelve thousand, eight hundred".