133599141811200 has 1056 divisors, whose sum is σ = 480901635325440. Its totient is φ = 32515581542400.

The previous prime is 133599141811199. The next prime is 133599141811231. The reversal of 133599141811200 is 2118141995331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133599141811200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36794033385 + ... + 36794037015.

Almost surely, 2^{133599141811200} is an apocalyptic number.

133599141811200 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 133599141811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240450817662720).

133599141811200 is an abundant number, since it is smaller than the sum of its proper divisors (347302493514240).

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

133599141811200 is a wasteful number, since it uses less digits than its factorization.

133599141811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 133599141811200 in words is "one hundred thirty-three trillion, five hundred ninety-nine billion, one hundred forty-one million, eight hundred eleven thousand, two hundred".