138053 has 2 divisors, whose sum is σ = 138054. Its totient is φ = 138052.

The previous prime is 138041. The next prime is 138059. The reversal of 138053 is 350831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134689 + 3364 = 367^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 138053 - 2¹⁰ = 137029 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69026 + 69027.

It is an arithmetic number, because the mean of its divisors is an integer number (69027).

2¹³⁸⁰⁵³ is an apocalyptic number.

It is an amenable number.

138053 is a deficient number, since it is larger than the sum of its proper divisors (1).

138053 is an equidigital number, since it uses as much as digits as its factorization.

138053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 138053 is about 371.5548411742. The cubic root of 138053 is about 51.6831072665.

Adding to 138053 its reverse (350831), we get a palindrome (488884).

The spelling of 138053 in words is "one hundred thirty-eight thousand, fifty-three".