133362144 has 72 divisors (see below), whose sum is σ = 401572080. Its totient is φ = 41837568.

The previous prime is 133362133. The next prime is 133362169. The reversal of 133362144 is 441263331.

133362144 is a `hidden beast` number, since 1 + 3 + 33 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×133362144² = 35570922904553472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8724 + ... + 18515.

It is an arithmetic number, because the mean of its divisors is an integer number (5577390).

Almost surely, 2^133362144 is an apocalyptic number.

It is an amenable number.

133362144 is an abundant number, since it is smaller than the sum of its proper divisors (268209936).

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

133362144 is a wasteful number, since it uses less digits than its factorization.

133362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27272 (or 27261 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 133362144 is about 11548.2528548694. The cubic root of 133362144 is about 510.9097487551.

The spelling of 133362144 in words is "one hundred thirty-three million, three hundred sixty-two thousand, one hundred forty-four".