133315272 has 48 divisors (see below), whose sum is σ = 369876780. Its totient is φ = 43353600.

The previous prime is 133315271. The next prime is 133315277. The reversal of 133315272 is 272513331.

133315272 is a `hidden beast` number, since 133 + 3 + 1 + 527 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130096836 + 3218436 = 11406^2 + 1794^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (133315271) 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, 19629 + ... + 25532.

Almost surely, 2^133315272 is an apocalyptic number.

133315272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133315272 is an abundant number, since it is smaller than the sum of its proper divisors (236561508).

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

133315272 is a wasteful number, since it uses less digits than its factorization.

133315272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45214 (or 45207 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 133315272 is about 11546.2232786310. The cubic root of 133315272 is about 510.8498862706.

The spelling of 133315272 in words is "one hundred thirty-three million, three hundred fifteen thousand, two hundred seventy-two".