4138000 has 40 divisors (see below), whose sum is σ = 10010520. Its totient is φ = 1654400.

The previous prime is 4137997. The next prime is 4138033. The reversal of 4138000 is 8314.

4138000 = T₃₉₁ + T₃₉₂ + ... + T₄₃₈.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 3504384 = 796^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 966 + ... + 3034.

It is an arithmetic number, because the mean of its divisors is an integer number (250263).

Almost surely, 2^4138000 is an apocalyptic number.

4138000 is a gapful number since it is divisible by the number (40) 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 4138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005260).

4138000 is an abundant number, since it is smaller than the sum of its proper divisors (5872520).

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

4138000 is a wasteful number, since it uses less digits than its factorization.

4138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4138000 is about 2034.2074623794. The cubic root of 4138000 is about 160.5450163742.

The spelling of 4138000 in words is "four million, one hundred thirty-eight thousand".