133296912 has 120 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 37850112.

The previous prime is 133296901. The next prime is 133296941. The reversal of 133296912 is 219692331.

It is a happy number.

133296912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224488 + ... + 225080.

Almost surely, 2^133296912 is an apocalyptic number.

133296912 is a gapful number since it is divisible by the number (12) 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 133296912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

133296912 is an abundant number, since it is smaller than the sum of its proper divisors (295675632).

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

133296912 is a wasteful number, since it uses less digits than its factorization.

133296912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 133296912 is about 11545.4281860830. The cubic root of 133296912 is about 510.8264340074.

The spelling of 133296912 in words is "one hundred thirty-three million, two hundred ninety-six thousand, nine hundred twelve".