133717893918336 has 1024 divisors, whose sum is σ = 499765709721600. Its totient is φ = 34250490593280.

The previous prime is 133717893918253. The next prime is 133717893918347. The reversal of 133717893918336 is 633819398717331.

133717893918336 is a `hidden beast` number, since 1 + 3 + 37 + 178 + 9 + 3 + 91 + 8 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6551255971 + ... + 6551276381.

It is an arithmetic number, because the mean of its divisors is an integer number (488052450900).

Almost surely, 2^{133717893918336} is an apocalyptic number.

133717893918336 is a gapful number since it is divisible by the number (16) 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 133717893918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249882854860800).

133717893918336 is an abundant number, since it is smaller than the sum of its proper divisors (366047815803264).

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

133717893918336 is a wasteful number, since it uses less digits than its factorization.

133717893918336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21054 (or 21036 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 133717893918336 in words is "one hundred thirty-three trillion, seven hundred seventeen billion, eight hundred ninety-three million, nine hundred eighteen thousand, three hundred thirty-six".