138383390740609 has 81 divisors (see below), whose sum is σ = 168207965510403. Its totient is φ = 113510347287456.

The previous prime is 138383390740547. The next prime is 138383390740619. The reversal of 138383390740609 is 906047093383831.

The square root of 138383390740609 is 11763647.

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

138383390740609 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 72564893361009 + 65818497379600 = 8518503^2 + 8112860^2 .

It is not a de Polignac number, because 138383390740609 - 2²⁵ = 138383357186177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138383390740619) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 398799396774 + ... + 398799397120.

Almost surely, 2^{138383390740609} is an apocalyptic number.

138383390740609 is the 11763647-th square number.

138383390740609 is the 5881824-th centered octagonal number.

It is an amenable number.

138383390740609 is a deficient number, since it is larger than the sum of its proper divisors (29824574769794).

138383390740609 is an frugal number, since it uses more digits than its factorization.

138383390740609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

The spelling of 138383390740609 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, three hundred ninety million, seven hundred forty thousand, six hundred nine".