133823079936 has 960 divisors, whose sum is σ = 503217792000. Its totient is φ = 35082657792.

The previous prime is 133823079911. The next prime is 133823079959. The reversal of 133823079936 is 639970328331.

133823079936 is a `hidden beast` number, since 1 + 338 + 230 + 79 + 9 + 3 + 6 = 666.

It is a super-3 number, since 3×133823079936³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801335725 + ... + 801335891.

It is an arithmetic number, because the mean of its divisors is an integer number (524185200).

Almost surely, 2^133823079936 is an apocalyptic number.

133823079936 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 133823079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251608896000).

133823079936 is an abundant number, since it is smaller than the sum of its proper divisors (369394712064).

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

133823079936 is an equidigital number, since it uses as much as digits as its factorization.

133823079936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 133823079936 in words is "one hundred thirty-three billion, eight hundred twenty-three million, seventy-nine thousand, nine hundred thirty-six".