133813137 has 16 divisors (see below), whose sum is σ = 191737152. Its totient is φ = 82705920.

The previous prime is 133813117. The next prime is 133813139. The reversal of 133813137 is 731318331.

It is not a de Polignac number, because 133813137 - 2¹⁰ = 133812113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133813139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16164 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (11983572).

Almost surely, 2^133813137 is an apocalyptic number.

133813137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133813137 is a deficient number, since it is larger than the sum of its proper divisors (57924015).

133813137 is a wasteful number, since it uses less digits than its factorization.

133813137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39248.

The product of its digits is 4536, while the sum is 30.

The square root of 133813137 is about 11567.7628347058. The cubic root of 133813137 is about 511.4850181321.

The spelling of 133813137 in words is "one hundred thirty-three million, eight hundred thirteen thousand, one hundred thirty-seven".