133520309 has 24 divisors (see below), whose sum is σ = 150540192. Its totient is φ = 118272960.

The previous prime is 133520293. The next prime is 133520327. The reversal of 133520309 is 903025331.

It is not a de Polignac number, because 133520309 - 2⁴ = 133520293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133520339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819062 + ... + 819224.

It is an arithmetic number, because the mean of its divisors is an integer number (6272508).

Almost surely, 2^133520309 is an apocalyptic number.

It is an amenable number.

133520309 is a deficient number, since it is larger than the sum of its proper divisors (17019883).

133520309 is a wasteful number, since it uses less digits than its factorization.

133520309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 133520309 is about 11555.0988312519. The cubic root of 133520309 is about 511.1116454188. Note that the first 3 decimals are identical.

The spelling of 133520309 in words is "one hundred thirty-three million, five hundred twenty thousand, three hundred nine".