133881312 has 48 divisors (see below), whose sum is σ = 362783232. Its totient is φ = 43186560.

The previous prime is 133881311. The next prime is 133881331. The reversal of 133881312 is 213188331.

It is a tau number, because it is divible by the number of its divisors (48).

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 133881312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133881311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19518 + ... + 25469.

It is an arithmetic number, because the mean of its divisors is an integer number (7557984).

Almost surely, 2^133881312 is an apocalyptic number.

133881312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133881312 is an abundant number, since it is smaller than the sum of its proper divisors (228901920).

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

133881312 is a wasteful number, since it uses less digits than its factorization.

133881312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45031 (or 45023 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 133881312 is about 11570.7092263180. The cubic root of 133881312 is about 511.5718670311.

The spelling of 133881312 in words is "one hundred thirty-three million, eight hundred eighty-one thousand, three hundred twelve".