137683 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 101376.

The previous prime is 137659. The next prime is 137699. The reversal of 137683 is 386731.

137683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137683 - 2¹³ = 129491 is a prime.

Its product of digits (3024) is a multiple of the sum of its prime divisors (126).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (137623) 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, 1503 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹³⁷⁶⁸³ is an apocalyptic number.

137683 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137683 is a deficient number, since it is larger than the sum of its proper divisors (43757).

137683 is a wasteful number, since it uses less digits than its factorization.

137683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its digits is 3024, while the sum is 28.

The square root of 137683 is about 371.0565994562. The cubic root of 137683 is about 51.6368934718.

It can be divided in two parts, 137 and 683, that added together give a triangular number (820 = T₄₀).

The spelling of 137683 in words is "one hundred thirty-seven thousand, six hundred eighty-three".