135685137 has 16 divisors (see below), whose sum is σ = 217640960. Its totient is φ = 73453392.

The previous prime is 135685133. The next prime is 135685159. The reversal of 135685137 is 731586531.

It is a happy number.

It is not a de Polignac number, because 135685137 - 2² = 135685133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135685095 and 135685104.

It is not an unprimeable number, because it can be changed into a prime (135685133) 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, 169633 + ... + 170430.

It is an arithmetic number, because the mean of its divisors is an integer number (13602560).

Almost surely, 2^135685137 is an apocalyptic number.

It is an amenable number.

135685137 is a deficient number, since it is larger than the sum of its proper divisors (81955823).

135685137 is a wasteful number, since it uses less digits than its factorization.

135685137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340092.

The product of its digits is 75600, while the sum is 39.

The square root of 135685137 is about 11648.3963273920. The cubic root of 135685137 is about 513.8591480197.

The spelling of 135685137 in words is "one hundred thirty-five million, six hundred eighty-five thousand, one hundred thirty-seven".