135813 has 8 divisors (see below), whose sum is σ = 191808. Its totient is φ = 85184.

The previous prime is 135799. The next prime is 135829. The reversal of 135813 is 318531.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135813 - 2⁵ = 135781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135813.

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 135813.

It is not an unprimeable number, because it can be changed into a prime (135893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (23976).

2¹³⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

135813 is a deficient number, since it is larger than the sum of its proper divisors (55995).

135813 is a wasteful number, since it uses less digits than its factorization.

135813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683.

The product of its digits is 360, while the sum is 21.

The square root of 135813 is about 368.5281536057. The cubic root of 135813 is about 51.4020509207.

The spelling of 135813 in words is "one hundred thirty-five thousand, eight hundred thirteen".