135759 has 12 divisors (see below), whose sum is σ = 198296. Its totient is φ = 82128.

The previous prime is 135757. The next prime is 135781. The reversal of 135759 is 957531.

It is a happy number.

It is not a de Polignac number, because 135759 - 2¹ = 135757 is a prime.

It is a Duffinian number.

Its product of digits (4725) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2272 + ... + 2330.

2¹³⁵⁷⁵⁹ is an apocalyptic number.

135759 is a deficient number, since it is larger than the sum of its proper divisors (62537).

135759 is an equidigital number, since it uses as much as digits as its factorization.

135759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 75 counting only the distinct ones).

The product of its digits is 4725, while the sum is 30.

The square root of 135759 is about 368.4548819055. The cubic root of 135759 is about 51.3952374377.

The spelling of 135759 in words is "one hundred thirty-five thousand, seven hundred fifty-nine".