138053281 has 2 divisors, whose sum is σ = 138053282. Its totient is φ = 138053280.

The previous prime is 138053257. The next prime is 138053303. The reversal of 138053281 is 182350831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132250000 + 5803281 = 11500^2 + 2409^2 .

It is a cyclic number.

It is not a de Polignac number, because 138053281 - 2¹⁷ = 137922209 is a prime.

It is a super-2 number, since 2×138053281² = 38117416789729922, which contains 22 as substring.

It is a Chen prime.

It is equal to p_7808341 and since 138053281 and 7808341 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (138050281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69026640 + 69026641.

It is an arithmetic number, because the mean of its divisors is an integer number (69026641).

Almost surely, 2^138053281 is an apocalyptic number.

It is an amenable number.

138053281 is a deficient number, since it is larger than the sum of its proper divisors (1).

138053281 is an equidigital number, since it uses as much as digits as its factorization.

138053281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 138053281 is about 11749.6076955786. The cubic root of 138053281 is about 516.8314233262.

The spelling of 138053281 in words is "one hundred thirty-eight million, fifty-three thousand, two hundred eighty-one".