137682 has 12 divisors (see below), whose sum is σ = 298350. Its totient is φ = 45888.

The previous prime is 137659. The next prime is 137699. The reversal of 137682 is 286731.

It can be written as a sum of positive squares in only one way, i.e., 136161 + 1521 = 369^2 + 39^2 .

It is a plaindrome in base 7.

It is an unprimeable number.

137682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3807 + ... + 3842.

2¹³⁷⁶⁸² is an apocalyptic number.

137682 is an abundant number, since it is smaller than the sum of its proper divisors (160668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137682 is a wasteful number, since it uses less digits than its factorization.

137682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657 (or 7654 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 137682 is about 371.0552519504. The cubic root of 137682 is about 51.6367684576.

The spelling of 137682 in words is "one hundred thirty-seven thousand, six hundred eighty-two".