137335893 has 12 divisors (see below), whose sum is σ = 186284928. Its totient is φ = 89998600.

The previous prime is 137335883. The next prime is 137335901. The reversal of 137335893 is 398533731.

It is not a de Polignac number, because 137335893 - 2²⁴ = 120558677 is a prime.

It is a super-2 number, since 2×137335893² = 37722295012214898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137335873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3868 + ... + 17018.

It is an arithmetic number, because the mean of its divisors is an integer number (15523744).

Almost surely, 2^137335893 is an apocalyptic number.

It is an amenable number.

137335893 is a deficient number, since it is larger than the sum of its proper divisors (48949035).

137335893 is an equidigital number, since it uses as much as digits as its factorization.

137335893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13272 (or 13213 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 137335893 is about 11719.0397644176. The cubic root of 137335893 is about 515.9346373250.

The spelling of 137335893 in words is "one hundred thirty-seven million, three hundred thirty-five thousand, eight hundred ninety-three".