133996320 has 72 divisors (see below), whose sum is σ = 457267356. Its totient is φ = 35731968.

The previous prime is 133996309. The next prime is 133996337. The reversal of 133996320 is 23699331.

It is a happy number.

133996320 is a `hidden beast` number, since 13 + 3 + 9 + 9 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129686544 + 4309776 = 11388^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45087 + ... + 47966.

Almost surely, 2^133996320 is an apocalyptic number.

133996320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133996320 is an abundant number, since it is smaller than the sum of its proper divisors (323271036).

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

133996320 is a wasteful number, since it uses less digits than its factorization.

133996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93074 (or 93063 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 133996320 is about 11575.6779499086. The cubic root of 133996320 is about 511.7183102189.

The spelling of 133996320 in words is "one hundred thirty-three million, nine hundred ninety-six thousand, three hundred twenty".