138271678801 has 9 divisors (see below), whose sum is σ = 145939616553. Its totient is φ = 130987528740.

The previous prime is 138271678793. The next prime is 138271678861. The reversal of 138271678801 is 108876172831.

The square root of 138271678801 is 371849.

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

It is not a de Polignac number, because 138271678801 - 2³ = 138271678793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138271678861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7055346 + ... + 7074916.

Almost surely, 2^138271678801 is an apocalyptic number.

138271678801 is the 371849-th square number.

138271678801 is the 185925-th centered octagonal number.

It is an amenable number.

138271678801 is a deficient number, since it is larger than the sum of its proper divisors (7667937752).

138271678801 is an frugal number, since it uses more digits than its factorization.

138271678801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39180 (or 19590 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 138271678801 in words is "one hundred thirty-eight billion, two hundred seventy-one million, six hundred seventy-eight thousand, eight hundred one".