135705 has 16 divisors (see below), whose sum is σ = 221760. Its totient is φ = 70848.

The previous prime is 135701. The next prime is 135719. The reversal of 135705 is 507531.

It is a happy number.

It is not a de Polignac number, because 135705 - 2² = 135701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹³⁵⁷⁰⁵ is an apocalyptic number.

135705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135705 is a deficient number, since it is larger than the sum of its proper divisors (86055).

135705 is a wasteful number, since it uses less digits than its factorization.

135705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 135705 is about 368.3815956315. The cubic root of 135705 is about 51.3884221476.

The spelling of 135705 in words is "one hundred thirty-five thousand, seven hundred five".