137257 has 4 divisors (see below), whose sum is σ = 142020. Its totient is φ = 132496.

The previous prime is 137251. The next prime is 137273. The reversal of 137257 is 752731.

137257 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 90601 = 216^2 + 301^2 .

It is a cyclic number.

It is not a de Polignac number, because 137257 - 2¹¹ = 135209 is a prime.

It is a Duffinian number.

137257 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137251) by changing a digit.

It is a nontrivial repunit in base 7.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2338 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (35505).

137257 is a Friedman number, since it can be written as (7^7-3+2)/(5+1), using all its digits and the basic arithmetic operations.

2¹³⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

137257 is a deficient number, since it is larger than the sum of its proper divisors (4763).

137257 is an equidigital number, since it uses as much as digits as its factorization.

137257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762.

The product of its digits is 1470, while the sum is 25.

The square root of 137257 is about 370.4821183269. The cubic root of 137257 is about 51.5835825021.

Adding to 137257 its reverse (752731), we get a palindrome (889988).

The spelling of 137257 in words is "one hundred thirty-seven thousand, two hundred fifty-seven".