137136897 has 12 divisors (see below), whose sum is σ = 198522324. Its totient is φ = 91223520.

The previous prime is 137136877. The next prime is 137136899. The reversal of 137136897 is 798631731.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 55487601 = 9036^2 + 7449^2 .

It is not a de Polignac number, because 137136897 - 2¹⁴ = 137120513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137136899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12378 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (16543527).

Almost surely, 2^137136897 is an apocalyptic number.

It is an amenable number.

137136897 is a deficient number, since it is larger than the sum of its proper divisors (61385427).

137136897 is a wasteful number, since it uses less digits than its factorization.

137136897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33520 (or 33517 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 137136897 is about 11710.5464005741. The cubic root of 137136897 is about 515.6853250853.

The spelling of 137136897 in words is "one hundred thirty-seven million, one hundred thirty-six thousand, eight hundred ninety-seven".