133267320 has 96 divisors (see below), whose sum is σ = 443242800. Its totient is φ = 34707456.

The previous prime is 133267319. The next prime is 133267327. The reversal of 133267320 is 23762331.

133267320 is a `hidden beast` number, since 1 + 332 + 6 + 7 + 320 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133267327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11176 + ... + 19784.

Almost surely, 2^133267320 is an apocalyptic number.

133267320 is a gapful number since it is divisible by the number (10) 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 133267320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221621400).

133267320 is an abundant number, since it is smaller than the sum of its proper divisors (309975480).

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

133267320 is a wasteful number, since it uses less digits than its factorization.

133267320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133267320 is about 11544.1465687161. The cubic root of 133267320 is about 510.7886299444.

The spelling of 133267320 in words is "one hundred thirty-three million, two hundred sixty-seven thousand, three hundred twenty".