8016138 has 64 divisors (see below), whose sum is σ = 20227200. Its totient is φ = 2332800.

The previous prime is 8016133. The next prime is 8016139. The reversal of 8016138 is 8316108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8016133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13038 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (316050).

Almost surely, 2^8016138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113600).

8016138 is an abundant number, since it is smaller than the sum of its proper divisors (12211062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8016138 is a wasteful number, since it uses less digits than its factorization.

8016138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8016138 is about 2831.2785097902. The cubic root of 8016138 is about 200.1343930057.

The spelling of 8016138 in words is "eight million, sixteen thousand, one hundred thirty-eight".