137109500089 has 9 divisors (see below), whose sum is σ = 137613073647. Its totient is φ = 136607766624.

The previous prime is 137109500057. The next prime is 137109500093. The reversal of 137109500089 is 980005901731.

The square root of 137109500089 is 370283.

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., 128275004025 + 8834496064 = 358155^2 + 93992^2 .

It is not a de Polignac number, because 137109500089 - 2⁵ = 137109500057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137109500389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140336769 + ... + 140337745.

Almost surely, 2^137109500089 is an apocalyptic number.

137109500089 is the 370283-rd square number.

137109500089 is the 185142-nd centered octagonal number.

It is an amenable number.

137109500089 is a deficient number, since it is larger than the sum of its proper divisors (503573558).

137109500089 is an frugal number, since it uses more digits than its factorization.

137109500089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 137109500089 in words is "one hundred thirty-seven billion, one hundred nine million, five hundred thousand, eighty-nine".