813680137 has 8 divisors (see below), whose sum is σ = 834232392. Its totient is φ = 793161600.

The previous prime is 813680113. The next prime is 813680141. The reversal of 813680137 is 731086318.

813680137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90554256 + 723125881 = 9516^2 + 26891^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-813680137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 813680096 and 813680105.

It is not an unprimeable number, because it can be changed into a prime (813680737) 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, 44587 + ... + 60127.

It is an arithmetic number, because the mean of its divisors is an integer number (104279049).

Almost surely, 2^813680137 is an apocalyptic number.

It is an amenable number.

813680137 is a deficient number, since it is larger than the sum of its proper divisors (20552255).

813680137 is a wasteful number, since it uses less digits than its factorization.

813680137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16859.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 813680137 is about 28525.0790884092. The cubic root of 813680137 is about 933.5793526484.

The spelling of 813680137 in words is "eight hundred thirteen million, six hundred eighty thousand, one hundred thirty-seven".