8005538138 has 16 divisors (see below), whose sum is σ = 13109177256. Its totient is φ = 3644248320.

The previous prime is 8005538089. The next prime is 8005538143. The reversal of 8005538138 is 8318355008.

8005538138 is digitally balanced in base 5, 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 4513555489 + 3491982649 = 67183^2 + 59093^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8005538095 and 8005538104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2107043 + ... + 2110838.

Almost surely, 2^8005538138 is an apocalyptic number.

8005538138 is a deficient number, since it is larger than the sum of its proper divisors (5103639118).

8005538138 is a wasteful number, since it uses less digits than its factorization.

8005538138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217969.

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 8005538138 is about 89473.6728764389. The cubic root of 8005538138 is about 2000.4614050445.

The spelling of 8005538138 in words is "eight billion, five million, five hundred thirty-eight thousand, one hundred thirty-eight".