133107264 has 84 divisors (see below), whose sum is σ = 383956560. Its totient is φ = 44087040.

The previous prime is 133107259. The next prime is 133107281. The reversal of 133107264 is 462701331.

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, 102459 + ... + 103749.

Almost surely, 2^133107264 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 133107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191978280).

133107264 is an abundant number, since it is smaller than the sum of its proper divisors (250849296).

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

133107264 is a wasteful number, since it uses less digits than its factorization.

133107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133107264 is about 11537.2121415878. The cubic root of 133107264 is about 510.5840598208.

Adding to 133107264 its reverse (462701331), we get a palindrome (595808595).

The spelling of 133107264 in words is "one hundred thirty-three million, one hundred seven thousand, two hundred sixty-four".