133973915023872 has 1600 divisors, whose sum is σ = 535324359905280. Its totient is φ = 32289236582400.

The previous prime is 133973915023867. The next prime is 133973915023909. The reversal of 133973915023872 is 278320519379331.

133973915023872 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 7 + 3 + 91 + 502 + 38 + 7 + 2 = 666.

133973915023872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3854348829 + ... + 3854383587.

Almost surely, 2^{133973915023872} is an apocalyptic number.

133973915023872 is a gapful number since it is divisible by the number (12) 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 133973915023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267662179952640).

133973915023872 is an abundant number, since it is smaller than the sum of its proper divisors (401350444881408).

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

133973915023872 is a wasteful number, since it uses less digits than its factorization.

133973915023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34895 (or 34870 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 133973915023872 in words is "one hundred thirty-three trillion, nine hundred seventy-three billion, nine hundred fifteen million, twenty-three thousand, eight hundred seventy-two".