133997814720 has 1008 divisors, whose sum is σ = 600950739168. Its totient is φ = 27079557120.

The previous prime is 133997814701. The next prime is 133997814721. The reversal of 133997814720 is 27418799331.

133997814720 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 97 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133997814721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57434674 + ... + 57437006.

Almost surely, 2^133997814720 is an apocalyptic number.

133997814720 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 133997814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300475369584).

133997814720 is an abundant number, since it is smaller than the sum of its proper divisors (466952924448).

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

133997814720 is a wasteful number, since it uses less digits than its factorization.

133997814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 133997814720 in words is "one hundred thirty-three billion, nine hundred ninety-seven million, eight hundred fourteen thousand, seven hundred twenty".