137727827689 has 9 divisors (see below), whose sum is σ = 139721708541. Its totient is φ = 135762020940.

The previous prime is 137727827651. The next prime is 137727827719. The reversal of 137727827689 is 986728727731.

The square root of 137727827689 is 371117.

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

137727827689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137727827689 - 2¹⁹ = 137727303401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137727827189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26346694 + ... + 26351920.

Almost surely, 2^137727827689 is an apocalyptic number.

137727827689 is the 371117-th square number.

137727827689 is the 185559-th centered octagonal number.

It is an amenable number.

137727827689 is a deficient number, since it is larger than the sum of its proper divisors (1993880852).

137727827689 is an frugal number, since it uses more digits than its factorization.

137727827689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596 (or 5298 counting only the distinct ones).

The product of its digits is 99574272, while the sum is 67.

The spelling of 137727827689 in words is "one hundred thirty-seven billion, seven hundred twenty-seven million, eight hundred twenty-seven thousand, six hundred eighty-nine".