137008161 has 6 divisors (see below), whose sum is σ = 197900690. Its totient is φ = 91338768.

The previous prime is 137008153. The next prime is 137008163. The reversal of 137008161 is 161800731.

It can be written as a sum of positive squares in only one way, i.e., 133263936 + 3744225 = 11544^2 + 1935^2 .

It is not a de Polignac number, because 137008161 - 2³ = 137008153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137008163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7611556 + ... + 7611573.

Almost surely, 2^137008161 is an apocalyptic number.

It is an amenable number.

137008161 is a deficient number, since it is larger than the sum of its proper divisors (60892529).

137008161 is a wasteful number, since it uses less digits than its factorization.

137008161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15223135 (or 15223132 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 137008161 is about 11705.0485261702. The cubic root of 137008161 is about 515.5239096146.

Adding to 137008161 its reverse (161800731), we get a palindrome (298808892).

The spelling of 137008161 in words is "one hundred thirty-seven million, eight thousand, one hundred sixty-one".