133593991680 has 320 divisors, whose sum is σ = 451796083200. Its totient is φ = 33582366720.

The previous prime is 133593991673. The next prime is 133593991691. The reversal of 133593991680 is 86199395331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×133593991680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 133593991680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30786951 + ... + 30791289.

It is an arithmetic number, because the mean of its divisors is an integer number (1411862760).

Almost surely, 2^133593991680 is an apocalyptic number.

133593991680 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 133593991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225898041600).

133593991680 is an abundant number, since it is smaller than the sum of its proper divisors (318202091520).

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

133593991680 is a wasteful number, since it uses less digits than its factorization.

133593991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 133593991680 in words is "one hundred thirty-three billion, five hundred ninety-three million, nine hundred ninety-one thousand, six hundred eighty".