137084 has 12 divisors (see below), whose sum is σ = 245784. Its totient is φ = 66864.

The previous prime is 137077. The next prime is 137087. The reversal of 137084 is 480731.

It is a happy number.

137084 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (20482).

2¹³⁷⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

137084 is a deficient number, since it is larger than the sum of its proper divisors (108700).

137084 is a wasteful number, since it uses less digits than its factorization.

137084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 137084 is about 370.2485651559. The cubic root of 137084 is about 51.5619012480.

The spelling of 137084 in words is "one hundred thirty-seven thousand, eighty-four".