135707 has 12 divisors (see below), whose sum is σ = 162504. Its totient is φ = 112320.

The previous prime is 135701. The next prime is 135719. The reversal of 135707 is 707531.

It is a happy number.

It is not a de Polignac number, because 135707 - 2¹⁰ = 134683 is a prime.

It is a Duffinian number.

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

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 11 ways as a sum of consecutive naturals, for example, 1823 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (13542).

2¹³⁵⁷⁰⁷ is an apocalyptic number.

135707 is a deficient number, since it is larger than the sum of its proper divisors (26797).

135707 is a wasteful number, since it uses less digits than its factorization.

135707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 135707 is about 368.3843101979. The cubic root of 135707 is about 51.3886745980.

The spelling of 135707 in words is "one hundred thirty-five thousand, seven hundred seven".