133192768 has 56 divisors (see below), whose sum is σ = 271967960. Its totient is φ = 64696320.

The previous prime is 133192751. The next prime is 133192811. The reversal of 133192768 is 867291331.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 129777664 = 1848^2 + 11392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133192768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425380 + ... + 425692.

Almost surely, 2^133192768 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 133192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983980).

133192768 is an abundant number, since it is smaller than the sum of its proper divisors (138775192).

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

133192768 is a wasteful number, since it uses less digits than its factorization.

133192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 133192768 is about 11540.9171212690. The cubic root of 133192768 is about 510.6933642357.

The spelling of 133192768 in words is "one hundred thirty-three million, one hundred ninety-two thousand, seven hundred sixty-eight".