138241 has 2 divisors, whose sum is σ = 138242. Its totient is φ = 138240.

The previous prime is 138239. The next prime is 138247. The reversal of 138241 is 142831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 50625 = 296^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 138241 - 2¹ = 138239 is a prime.

It is a super-2 number, since 2×138241² = 38221148162, which contains 22 as substring.

Together with 138239, it forms a pair of twin primes.

It is equal to p₁₂₈₆₂ and since 138241 and 12862 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (138247) by changing a digit.

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 as a sum of consecutive naturals, namely, 69120 + 69121.

It is an arithmetic number, because the mean of its divisors is an integer number (69121).

It is a Proth number, since it is equal to 135 ⋅ 2¹⁰ + 1 and 135 < 2¹⁰.

2¹³⁸²⁴¹ is an apocalyptic number.

It is an amenable number.

138241 is a deficient number, since it is larger than the sum of its proper divisors (1).

138241 is an equidigital number, since it uses as much as digits as its factorization.

138241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

The square root of 138241 is about 371.8077460194. The cubic root of 138241 is about 51.7065572384.

The spelling of 138241 in words is "one hundred thirty-eight thousand, two hundred forty-one".