133093506 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 34642944.

The previous prime is 133093501. The next prime is 133093523. The reversal of 133093506 is 605390331.

133093506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133093501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370555 + ... + 370913.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^133093506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133093506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

133093506 is an abundant number, since it is smaller than the sum of its proper divisors (204747774).

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

133093506 is a wasteful number, since it uses less digits than its factorization.

133093506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 133093506 is about 11536.6158816180. The cubic root of 133093506 is about 510.5664678494.

The spelling of 133093506 in words is "one hundred thirty-three million, ninety-three thousand, five hundred six".