138282241866409 has 9 divisors (see below), whose sum is σ = 145943543704023. Its totient is φ = 131004017468352.

The previous prime is 138282241866361. The next prime is 138282241866443. The reversal of 138282241866409 is 904668142282831.

The square root of 138282241866409 is 11759347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53124929029225 + 85157312837184 = 7288685^2 + 9228072^2 .

It is not a de Polignac number, because 138282241866409 - 2¹⁵ = 138282241833641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138282241866479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223118137 + ... + 223737049.

It is an arithmetic number, because the mean of its divisors is an integer number (16215949300447).

Almost surely, 2^{138282241866409} is an apocalyptic number.

138282241866409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

138282241866409 is the 11759347-th square number.

138282241866409 is the 5879674-th centered octagonal number.

It is an amenable number.

138282241866409 is a deficient number, since it is larger than the sum of its proper divisors (7661301837614).

138282241866409 is an frugal number, since it uses more digits than its factorization.

138282241866409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237864 (or 618932 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 64.

The spelling of 138282241866409 in words is "one hundred thirty-eight trillion, two hundred eighty-two billion, two hundred forty-one million, eight hundred sixty-six thousand, four hundred nine".