137702097 has 24 divisors (see below), whose sum is σ = 214689384. Its totient is φ = 84547584.

The previous prime is 137702077. The next prime is 137702099. The reversal of 137702097 is 790207731.

It can be written as a sum of positive squares in 4 ways, for example, as 23126481 + 114575616 = 4809^2 + 10704^2 .

It is not a de Polignac number, because 137702097 - 2¹⁰ = 137701073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137702099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64113 + ... + 66225.

It is an arithmetic number, because the mean of its divisors is an integer number (8945391).

Almost surely, 2^137702097 is an apocalyptic number.

It is an amenable number.

137702097 is a deficient number, since it is larger than the sum of its proper divisors (76987287).

137702097 is a wasteful number, since it uses less digits than its factorization.

137702097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 137702097 is about 11734.6536804458. The cubic root of 137702097 is about 516.3928075317.

The spelling of 137702097 in words is "one hundred thirty-seven million, seven hundred two thousand, ninety-seven".