8138137 has 16 divisors (see below), whose sum is σ = 10024960. Its totient is φ = 6450192.

The previous prime is 8138129. The next prime is 8138149. The reversal of 8138137 is 7318318.

It is not a de Polignac number, because 8138137 - 2³ = 8138129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8138099 and 8138108.

It is not an unprimeable number, because it can be changed into a prime (8138107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5008 + ... + 6430.

It is an arithmetic number, because the mean of its divisors is an integer number (626560).

Almost surely, 2^8138137 is an apocalyptic number.

It is an amenable number.

8138137 is a deficient number, since it is larger than the sum of its proper divisors (1886823).

8138137 is a wasteful number, since it uses less digits than its factorization.

8138137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its digits is 4032, while the sum is 31.

The square root of 8138137 is about 2852.7420142733. The cubic root of 8138137 is about 201.1445788672.

It can be divided in two parts, 81381 and 37, that added together give a palindrome (81418).

The spelling of 8138137 in words is "eight million, one hundred thirty-eight thousand, one hundred thirty-seven".