133557264 has 120 divisors (see below), whose sum is σ = 385848320. Its totient is φ = 43110144.

The previous prime is 133557257. The next prime is 133557301. The reversal of 133557264 is 462755331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051569 + ... + 1051695.

Almost surely, 2^133557264 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 133557264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192924160).

133557264 is an abundant number, since it is smaller than the sum of its proper divisors (252291056).

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

133557264 is a wasteful number, since it uses less digits than its factorization.

133557264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 133557264 is about 11556.6977982467. The cubic root of 133557264 is about 511.1587952711.

The spelling of 133557264 in words is "one hundred thirty-three million, five hundred fifty-seven thousand, two hundred sixty-four".