137288 has 12 divisors (see below), whose sum is σ = 259395. Its totient is φ = 68120.

The previous prime is 137279. The next prime is 137303. The reversal of 137288 is 882731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137288 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 68644 = 262^2 + 262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=262.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 983 + ... + 1113.

137288 is a Friedman number, since it can be written as 8*(138-7)^2, using all its digits and the basic arithmetic operations.

2¹³⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

137288 is a deficient number, since it is larger than the sum of its proper divisors (122107).

137288 is an equidigital number, since it uses as much as digits as its factorization.

137288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 133 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 137288 is about 370.5239533418. The cubic root of 137288 is about 51.5874656573.

The spelling of 137288 in words is "one hundred thirty-seven thousand, two hundred eighty-eight".