133296793344 has 360 divisors, whose sum is σ = 466964530032. Its totient is φ = 37284986880.

The previous prime is 133296793307. The next prime is 133296793367. The reversal of 133296793344 is 443397692331.

It is a happy number.

133296793344 is a `hidden beast` number, since 1 + 3 + 3 + 296 + 7 + 9 + 3 + 344 = 666.

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 39 ways as a sum of consecutive naturals, for example, 2942772 + ... + 2987724.

Almost surely, 2^133296793344 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 133296793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233482265016).

133296793344 is an abundant number, since it is smaller than the sum of its proper divisors (333667736688).

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

133296793344 is a wasteful number, since it uses less digits than its factorization.

133296793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45005 (or 44982 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 133296793344 in words is "one hundred thirty-three billion, two hundred ninety-six million, seven hundred ninety-three thousand, three hundred forty-four".