135837 has 24 divisors (see below), whose sum is σ = 224224. Its totient is φ = 81648.

The previous prime is 135829. The next prime is 135841. The reversal of 135837 is 738531.

It is not a de Polignac number, because 135837 - 2³ = 135829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 135837.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135837.

It is not an unprimeable number, because it can be changed into a prime (135887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3138 + ... + 3180.

135837 is a Friedman number, since it can be written as 387*351, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 351 ⋅ 387 (with its own digits).

2¹³⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

135837 is a deficient number, since it is larger than the sum of its proper divisors (88387).

135837 is an equidigital number, since it uses as much as digits as its factorization.

135837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 135837 is about 368.5607141300. The cubic root of 135837 is about 51.4050785557.

The spelling of 135837 in words is "one hundred thirty-five thousand, eight hundred thirty-seven".