133392768 has 128 divisors (see below), whose sum is σ = 381888000. Its totient is φ = 41121792.

The previous prime is 133392767. The next prime is 133392773. The reversal of 133392768 is 867293331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133392767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342718 + ... + 343106.

It is an arithmetic number, because the mean of its divisors is an integer number (2983500).

Almost surely, 2^133392768 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 133392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

133392768 is an abundant number, since it is smaller than the sum of its proper divisors (248495232).

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

133392768 is a wasteful number, since it uses less digits than its factorization.

133392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 133392768 is about 11549.5786936148. The cubic root of 133392768 is about 510.9488525622.

The spelling of 133392768 in words is "one hundred thirty-three million, three hundred ninety-two thousand, seven hundred sixty-eight".