133605264 has 160 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 38085120.

The previous prime is 133605247. The next prime is 133605293. The reversal of 133605264 is 462506331.

133605264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699409 + ... + 699599.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^133605264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

133605264 is an abundant number, since it is smaller than the sum of its proper divisors (266369136).

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

133605264 is a wasteful number, since it uses less digits than its factorization.

133605264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 133605264 is about 11558.7743294867. The cubic root of 133605264 is about 511.2200241470.

The spelling of 133605264 in words is "one hundred thirty-three million, six hundred five thousand, two hundred sixty-four".