133593813700480 has 512 divisors, whose sum is σ = 394567866040320. Its totient is φ = 42212081664000.

The previous prime is 133593813700469. The next prime is 133593813700489. The reversal of 133593813700480 is 84007318395331.

133593813700480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133593813700489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035940005 + ... + 1036068955.

It is an arithmetic number, because the mean of its divisors is an integer number (770640363360).

Almost surely, 2^{133593813700480} is an apocalyptic number.

133593813700480 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 133593813700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197283933020160).

133593813700480 is an abundant number, since it is smaller than the sum of its proper divisors (260974052339840).

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

133593813700480 is a wasteful number, since it uses less digits than its factorization.

133593813700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129278 (or 129266 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 133593813700480 in words is "one hundred thirty-three trillion, five hundred ninety-three billion, eight hundred thirteen million, seven hundred thousand, four hundred eighty".