133205264 has 40 divisors (see below), whose sum is σ = 269149440. Its totient is φ = 63792000.

The previous prime is 133205243. The next prime is 133205287. The reversal of 133205264 is 462502331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48767 + ... + 51425.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2^133205264 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 133205264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134574720).

133205264 is an abundant number, since it is smaller than the sum of its proper divisors (135944176).

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

133205264 is a wasteful number, since it uses less digits than its factorization.

133205264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 133205264 is about 11541.4584866905. The cubic root of 133205264 is about 510.7093346341.

Adding to 133205264 its reverse (462502331), we get a palindrome (595707595).

The spelling of 133205264 in words is "one hundred thirty-three million, two hundred five thousand, two hundred sixty-four".