133584008 has 8 divisors (see below), whose sum is σ = 250470030. Its totient is φ = 66792000.

The previous prime is 133584001. The next prime is 133584029. The reversal of 133584008 is 800485331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 131836324 + 1747684 = 11482^2 + 1322^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (133584001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8348993 + ... + 8349008.

Almost surely, 2^133584008 is an apocalyptic number.

It is an amenable number.

133584008 is a deficient number, since it is larger than the sum of its proper divisors (116886022).

133584008 is a wasteful number, since it uses less digits than its factorization.

133584008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16698007 (or 16698003 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 133584008 is about 11557.8548182610. The cubic root of 133584008 is about 511.1929117693.

The spelling of 133584008 in words is "one hundred thirty-three million, five hundred eighty-four thousand, eight".