133936164 has 36 divisors (see below), whose sum is σ = 339069276. Its totient is φ = 44578368.

The previous prime is 133936157. The next prime is 133936211. The reversal of 133936164 is 461639331.

133936164 is a `hidden beast` number, since 1 + 3 + 39 + 3 + 616 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 84824100 = 7008^2 + 9210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 25422 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (9418591).

Almost surely, 2^133936164 is an apocalyptic number.

It is an amenable number.

133936164 is an abundant number, since it is smaller than the sum of its proper divisors (205133112).

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

133936164 is a wasteful number, since it uses less digits than its factorization.

133936164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5591 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 133936164 is about 11573.0792790856. The cubic root of 133936164 is about 511.6417222092.

The spelling of 133936164 in words is "one hundred thirty-three million, nine hundred thirty-six thousand, one hundred sixty-four".