2139734105089 has 27 divisors (see below), whose sum is σ = 2515182444201. Its totient is φ = 1815021146400.

The previous prime is 2139734105057. The next prime is 2139734105219. The reversal of 2139734105089 is 9805014379312.

The square root of 2139734105089 is 1462783.

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

It can be written as a sum of positive squares in 4 ways, for example, as 90942655489 + 2048791449600 = 301567^2 + 1431360^2 .

It is not a de Polignac number, because 2139734105089 - 2⁵ = 2139734105057 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2139734105009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1034186547 + ... + 1034188615.

Almost surely, 2^{2139734105089} is an apocalyptic number.

2139734105089 is the 1462783-rd square number.

2139734105089 is the 731392-nd centered octagonal number.

It is an amenable number.

2139734105089 is a deficient number, since it is larger than the sum of its proper divisors (375448339112).

2139734105089 is an frugal number, since it uses more digits than its factorization.

2139734105089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 2139734105089 in words is "two trillion, one hundred thirty-nine billion, seven hundred thirty-four million, one hundred five thousand, eighty-nine".