133368768 has 140 divisors (see below), whose sum is σ = 425973240. Its totient is φ = 41015808.

The previous prime is 133368749. The next prime is 133368769. The reversal of 133368768 is 867863331.

Its product of digits (435456) is a multiple of the sum of its prime factors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133368769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66403 + ... + 68381.

It is an arithmetic number, because the mean of its divisors is an integer number (3042666).

Almost surely, 2^133368768 is an apocalyptic number.

133368768 is a gapful number since it is divisible by the number (18) 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 133368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212986620).

133368768 is an abundant number, since it is smaller than the sum of its proper divisors (292604472).

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

133368768 is a wasteful number, since it uses less digits than its factorization.

133368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1997 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 133368768 is about 11548.5396479382. The cubic root of 133368768 is about 510.9182074527.

The spelling of 133368768 in words is "one hundred thirty-three million, three hundred sixty-eight thousand, seven hundred sixty-eight".