137810117 has 8 divisors (see below), whose sum is σ = 143873400. Its totient is φ = 131834304.

The previous prime is 137810083. The next prime is 137810137. The reversal of 137810117 is 711018731.

It can be written as a sum of positive squares in 4 ways, for example, as 3389281 + 134420836 = 1841^2 + 11594^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137810117 - 2²² = 133615813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137810117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137810137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18638 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (17984175).

Almost surely, 2^137810117 is an apocalyptic number.

It is an amenable number.

137810117 is a deficient number, since it is larger than the sum of its proper divisors (6063283).

137810117 is a wasteful number, since it uses less digits than its factorization.

137810117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43735.

The product of its (nonzero) digits is 1176, while the sum is 29.

The square root of 137810117 is about 11739.2553852448. The cubic root of 137810117 is about 516.5277998398.

Adding to 137810117 its reverse (711018731), we get a palindrome (848828848).

The spelling of 137810117 in words is "one hundred thirty-seven million, eight hundred ten thousand, one hundred seventeen".