4138128 has 100 divisors (see below), whose sum is σ = 12483328. Its totient is φ = 1321920.

The previous prime is 4138111. The next prime is 4138129. The reversal of 4138128 is 8218314.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4138129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40125 + ... + 40227.

Almost surely, 2^4138128 is an apocalyptic number.

4138128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241664).

4138128 is an abundant number, since it is smaller than the sum of its proper divisors (8345200).

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

4138128 is a wasteful number, since it uses less digits than its factorization.

4138128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 4138128 is about 2034.2389240205. The cubic root of 4138128 is about 160.5466717271.

The spelling of 4138128 in words is "four million, one hundred thirty-eight thousand, one hundred twenty-eight".