138344815306457 has 2 divisors, whose sum is σ = 138344815306458. Its totient is φ = 138344815306456.

The previous prime is 138344815306441. The next prime is 138344815306463. The reversal of 138344815306457 is 754603518443831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126495998737936 + 11848816568521 = 11247044^2 + 3442211^2 .

It is a cyclic number.

It is not a de Polignac number, because 138344815306457 - 2⁴ = 138344815306441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138344815306457.

It is not a weakly prime, because it can be changed into another prime (138344815305457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69172407653228 + 69172407653229.

It is an arithmetic number, because the mean of its divisors is an integer number (69172407653229).

Almost surely, 2^{138344815306457} is an apocalyptic number.

It is an amenable number.

138344815306457 is a deficient number, since it is larger than the sum of its proper divisors (1).

138344815306457 is an equidigital number, since it uses as much as digits as its factorization.

138344815306457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116121600, while the sum is 62.

The spelling of 138344815306457 in words is "one hundred thirty-eight trillion, three hundred forty-four billion, eight hundred fifteen million, three hundred six thousand, four hundred fifty-seven".