138996989329 has 9 divisors (see below), whose sum is σ = 152786322619. Its totient is φ = 126357171160.

The previous prime is 138996989321. The next prime is 138996989359. The reversal of 138996989329 is 923989699831.

The square root of 138996989329 is 372823.

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., 105121850625 + 33875138704 = 324225^2 + 184052^2 .

It is not a de Polignac number, because 138996989329 - 2³ = 138996989321 is a prime.

It is a super-3 number, since 3×138996989329³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138996989321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4084107 + ... + 4117999.

Almost surely, 2^138996989329 is an apocalyptic number.

138996989329 is the 372823-rd square number.

138996989329 is the 186412-nd centered octagonal number.

It is an amenable number.

138996989329 is a deficient number, since it is larger than the sum of its proper divisors (13789333290).

138996989329 is an frugal number, since it uses more digits than its factorization.

138996989329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67808 (or 33904 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 76.

The spelling of 138996989329 in words is "one hundred thirty-eight billion, nine hundred ninety-six million, nine hundred eighty-nine thousand, three hundred twenty-nine".