137093 has 8 divisors (see below), whose sum is σ = 152256. Its totient is φ = 123420.

The previous prime is 137089. The next prime is 137117. The reversal of 137093 is 390731.

It is not a de Polignac number, because 137093 - 2² = 137089 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁷ + 0 + 7⁵ + 9⁵ + 3¹⁰ .

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (19032).

2¹³⁷⁰⁹³ is an apocalyptic number.

It is an amenable number.

137093 is a deficient number, since it is larger than the sum of its proper divisors (15163).

137093 is an equidigital number, since it uses as much as digits as its factorization.

137093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 137093 is about 370.2607189536. The cubic root of 137093 is about 51.5630296242.

The spelling of 137093 in words is "one hundred thirty-seven thousand, ninety-three".