135905 has 16 divisors (see below), whose sum is σ = 203904. Its totient is φ = 84480.

The previous prime is 135899. The next prime is 135911. The reversal of 135905 is 509531.

It is an interprime number because it is at equal distance from previous prime (135899) and next prime (135911).

It is not a de Polignac number, because 135905 - 2⁶ = 135841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (12744).

2¹³⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

135905 is a deficient number, since it is larger than the sum of its proper divisors (67999).

135905 is a wasteful number, since it uses less digits than its factorization.

135905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 135905 is about 368.6529533314. The cubic root of 135905 is about 51.4136549185.

The spelling of 135905 in words is "one hundred thirty-five thousand, nine hundred five".