133266312 has 48 divisors (see below), whose sum is σ = 361471500. Its totient is φ = 44355456.

The previous prime is 133266311. The next prime is 133266319. The reversal of 133266312 is 213662331.

It is a happy number.

133266312 is a `hidden beast` number, since 1 + 3 + 3 + 26 + 631 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120692196 + 12574116 = 10986^2 + 3546^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133266311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79014 + ... + 80682.

Almost surely, 2^133266312 is an apocalyptic number.

133266312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133266312 is an abundant number, since it is smaller than the sum of its proper divisors (228205188).

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

133266312 is a wasteful number, since it uses less digits than its factorization.

133266312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2783 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 133266312 is about 11544.1029101442. The cubic root of 133266312 is about 510.7873421162.

The spelling of 133266312 in words is "one hundred thirty-three million, two hundred sixty-six thousand, three hundred twelve".