133813296 has 120 divisors (see below), whose sum is σ = 392863744. Its totient is φ = 44089920.

The previous prime is 133813261. The next prime is 133813297. The reversal of 133813296 is 692318331.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133813296.

It is not an unprimeable number, because it can be changed into a prime (133813297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493641 + ... + 493911.

Almost surely, 2^133813296 is an apocalyptic number.

133813296 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 133813296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196431872).

133813296 is an abundant number, since it is smaller than the sum of its proper divisors (259050448).

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

133813296 is a wasteful number, since it uses less digits than its factorization.

133813296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133813296 is about 11567.7697072513. The cubic root of 133813296 is about 511.4852207183.

The spelling of 133813296 in words is "one hundred thirty-three million, eight hundred thirteen thousand, two hundred ninety-six".