133506564 has 12 divisors (see below), whose sum is σ = 311515344. Its totient is φ = 44502184.

The previous prime is 133506551. The next prime is 133506577. The reversal of 133506564 is 465605331.

133506564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133506551) and next prime (133506577).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5562762 + ... + 5562785.

It is an arithmetic number, because the mean of its divisors is an integer number (25959612).

Almost surely, 2^133506564 is an apocalyptic number.

It is an amenable number.

133506564 is an abundant number, since it is smaller than the sum of its proper divisors (178008780).

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

133506564 is a wasteful number, since it uses less digits than its factorization.

133506564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125554 (or 11125552 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 133506564 is about 11554.5040568603. The cubic root of 133506564 is about 511.0941063376.

The spelling of 133506564 in words is "one hundred thirty-three million, five hundred six thousand, five hundred sixty-four".