137992009 has 9 divisors (see below), whose sum is σ = 146799111. Its totient is φ = 129686880.

The previous prime is 137991989. The next prime is 137992027. The reversal of 137992009 is 900299731.

The square root of 137992009 is 11747.

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., 107433225 + 30558784 = 10365^2 + 5528^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137992009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137992069) 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, 199354 + ... + 200044.

Almost surely, 2^137992009 is an apocalyptic number.

137992009 is the 11747-th square number.

137992009 is the 5874-th centered octagonal number.

It is an amenable number.

137992009 is a deficient number, since it is larger than the sum of its proper divisors (8807102).

137992009 is an frugal number, since it uses more digits than its factorization.

137992009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The cubic root of 137992009 is about 516.7549504822.

The spelling of 137992009 in words is "one hundred thirty-seven million, nine hundred ninety-two thousand, nine".