137686 has 8 divisors (see below), whose sum is σ = 211464. Its totient is φ = 67200.

The previous prime is 137659. The next prime is 137699. The reversal of 137686 is 686731.

137686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (26433).

2¹³⁷⁶⁸⁶ is an apocalyptic number.

137686 is a deficient number, since it is larger than the sum of its proper divisors (73778).

137686 is a wasteful number, since it uses less digits than its factorization.

137686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646.

The product of its digits is 6048, while the sum is 31.

The square root of 137686 is about 371.0606419441. The cubic root of 137686 is about 51.6372685110.

It can be divided in two parts, 1376 and 86, that multiplied together give a square (118336 = 344²).

The spelling of 137686 in words is "one hundred thirty-seven thousand, six hundred eighty-six".