133797664 has 96 divisors (see below), whose sum is σ = 353759616. Its totient is φ = 48107520.

The previous prime is 133797623. The next prime is 133797689. The reversal of 133797664 is 466797331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29944 + ... + 34120.

It is an arithmetic number, because the mean of its divisors is an integer number (3684996).

Almost surely, 2^133797664 is an apocalyptic number.

133797664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176879808).

133797664 is an abundant number, since it is smaller than the sum of its proper divisors (219961952).

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

133797664 is a wasteful number, since it uses less digits than its factorization.

133797664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The square root of 133797664 is about 11567.0940170814. The cubic root of 133797664 is about 511.4653027964.

It can be divided in two parts, 133 and 797664, that added together give a palindrome (797797).

The spelling of 133797664 in words is "one hundred thirty-three million, seven hundred ninety-seven thousand, six hundred sixty-four".