138377629745053 has 2 divisors, whose sum is σ = 138377629745054. Its totient is φ = 138377629745052.

The previous prime is 138377629744919. The next prime is 138377629745083. The reversal of 138377629745053 is 350547926773831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136036812364324 + 2340817380729 = 11663482^2 + 1529973^2 .

It is an emirp because it is prime and its reverse (350547926773831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138377629745053 - 2⁴¹ = 136178606489501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138377629745083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69188814872526 + 69188814872527.

It is an arithmetic number, because the mean of its divisors is an integer number (69188814872527).

It is a 1-persistent number, because it is pandigital, but 2⋅138377629745053 = 276755259490106 is not.

Almost surely, 2^{138377629745053} is an apocalyptic number.

It is an amenable number.

138377629745053 is a deficient number, since it is larger than the sum of its proper divisors (1).

138377629745053 is an equidigital number, since it uses as much as digits as its factorization.

138377629745053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800150400, while the sum is 70.

The spelling of 138377629745053 in words is "one hundred thirty-eight trillion, three hundred seventy-seven billion, six hundred twenty-nine million, seven hundred forty-five thousand, fifty-three".