138289 has 2 divisors, whose sum is σ = 138290. Its totient is φ = 138288.

The previous prime is 138283. The next prime is 138311. The reversal of 138289 is 982831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134689 + 3600 = 367^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 138289 - 2⁹ = 137777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138289.

It is not a weakly prime, because it can be changed into another prime (138283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69144 + 69145.

It is an arithmetic number, because the mean of its divisors is an integer number (69145).

2¹³⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

138289 is a deficient number, since it is larger than the sum of its proper divisors (1).

138289 is an equidigital number, since it uses as much as digits as its factorization.

138289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 31.

The square root of 138289 is about 371.8722899061. The cubic root of 138289 is about 51.7125410578.

The spelling of 138289 in words is "one hundred thirty-eight thousand, two hundred eighty-nine".