133932130886400 has 1728 divisors, whose sum is σ = 563853627724800. Its totient is φ = 27753991372800.

The previous prime is 133932130886381. The next prime is 133932130886429. The reversal of 133932130886400 is 4688031239331.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28759312872 + ... + 28759317528.

Almost surely, 2^{133932130886400} is an apocalyptic number.

133932130886400 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 133932130886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281926813862400).

133932130886400 is an abundant number, since it is smaller than the sum of its proper divisors (429921496838400).

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

133932130886400 is a wasteful number, since it uses less digits than its factorization.

133932130886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 133932130886400 in words is "one hundred thirty-three trillion, nine hundred thirty-two billion, one hundred thirty million, eight hundred eighty-six thousand, four hundred".