133795296 has 72 divisors (see below), whose sum is σ = 383370624. Its totient is φ = 44259840.

The previous prime is 133795271. The next prime is 133795297. The reversal of 133795296 is 692597331.

133795296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133795297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37761 + ... + 41151.

It is an arithmetic number, because the mean of its divisors is an integer number (5324592).

Almost surely, 2^133795296 is an apocalyptic number.

133795296 is a gapful number since it is divisible by the number (16) 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 133795296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191685312).

133795296 is an abundant number, since it is smaller than the sum of its proper divisors (249575328).

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

133795296 is a wasteful number, since it uses less digits than its factorization.

133795296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3533 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 133795296 is about 11566.9916572979. The cubic root of 133795296 is about 511.4622854119.

The spelling of 133795296 in words is "one hundred thirty-three million, seven hundred ninety-five thousand, two hundred ninety-six".