135505 has 8 divisors (see below), whose sum is σ = 166824. Its totient is φ = 105600.

The previous prime is 135497. The next prime is 135511. The reversal of 135505 is 505531.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 130321 = 72^2 + 361^2 .

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

It is not a de Polignac number, because 135505 - 2³ = 135497 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (20853).

2¹³⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

135505 is a deficient number, since it is larger than the sum of its proper divisors (31319).

135505 is an equidigital number, since it uses as much as digits as its factorization.

135505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 135505 is about 368.1100378963. The cubic root of 135505 is about 51.3631645728.

The spelling of 135505 in words is "one hundred thirty-five thousand, five hundred five".