137685 has 16 divisors (see below), whose sum is σ = 225216. Its totient is φ = 71808.

The previous prime is 137659. The next prime is 137699. The reversal of 137685 is 586731.

137685 = 8² + 9² + ... + 74².

137685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137685 - 2⁵ = 137653 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (14076).

2¹³⁷⁶⁸⁵ is an apocalyptic number.

137685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137685 is a deficient number, since it is larger than the sum of its proper divisors (87531).

137685 is a wasteful number, since it uses less digits than its factorization.

137685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its digits is 5040, while the sum is 30.

The square root of 137685 is about 371.0592944531. The cubic root of 137685 is about 51.6371434986.

The spelling of 137685 in words is "one hundred thirty-seven thousand, six hundred eighty-five".