133107796224 has 648 divisors, whose sum is σ = 441141966720. Its totient is φ = 38503415808.

The previous prime is 133107796223. The next prime is 133107796229. The reversal of 133107796224 is 422697701331.

133107796224 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 7 + 7 + 9 + 622 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133107796224.

It is not an unprimeable number, because it can be changed into a prime (133107796223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 797052589 + ... + 797052755.

It is an arithmetic number, because the mean of its divisors is an integer number (680774640).

Almost surely, 2^133107796224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133107796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220570983360).

133107796224 is an abundant number, since it is smaller than the sum of its proper divisors (308034170496).

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

133107796224 is a wasteful number, since it uses less digits than its factorization.

133107796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 133107796224 in words is "one hundred thirty-three billion, one hundred seven million, seven hundred ninety-six thousand, two hundred twenty-four".