133291558378368 has 256 divisors, whose sum is σ = 423865485960000. Its totient is φ = 40992545857536.

The previous prime is 133291558378357. The next prime is 133291558378399. The reversal of 133291558378368 is 863873855192331.

133291558378368 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 9 + 1 + 5 + 583 + 7 + 8 + 36 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133291558378296 and 133291558378305.

It is a congruent number.

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, 90427818 + ... + 91890006.

Almost surely, 2^{133291558378368} is an apocalyptic number.

133291558378368 is a gapful number since it is divisible by the number (18) 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 133291558378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211932742980000).

133291558378368 is an abundant number, since it is smaller than the sum of its proper divisors (290573927581632).

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

133291558378368 is a wasteful number, since it uses less digits than its factorization.

133291558378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464254 (or 1464236 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 133291558378368 in words is "one hundred thirty-three trillion, two hundred ninety-one billion, five hundred fifty-eight million, three hundred seventy-eight thousand, three hundred sixty-eight".