133515312 has 80 divisors (see below), whose sum is σ = 396855552. Its totient is φ = 37889280.

The previous prime is 133515259. The next prime is 133515313. The reversal of 133515312 is 213515331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133515313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51487 + ... + 54017.

Almost surely, 2^133515312 is an apocalyptic number.

133515312 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 133515312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198427776).

133515312 is an abundant number, since it is smaller than the sum of its proper divisors (263340240).

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

133515312 is a wasteful number, since it uses less digits than its factorization.

133515312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2700 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 133515312 is about 11554.8826043366. The cubic root of 133515312 is about 511.1052692184.

The spelling of 133515312 in words is "one hundred thirty-three million, five hundred fifteen thousand, three hundred twelve".