4136000 has 112 divisors (see below), whose sum is σ = 11411712. Its totient is φ = 1472000.

The previous prime is 4135997. The next prime is 4136003. The reversal of 4136000 is 6314.

It is an interprime number because it is at equal distance from previous prime (4135997) and next prime (4136003).

It is not an unprimeable number, because it can be changed into a prime (4136003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87977 + ... + 88023.

Almost surely, 2^4136000 is an apocalyptic number.

4136000 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 4136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856).

4136000 is an abundant number, since it is smaller than the sum of its proper divisors (7275712).

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

4136000 is a wasteful number, since it uses less digits than its factorization.

4136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4136000 is about 2033.7158110218. The cubic root of 4136000 is about 160.5191470511.

The spelling of 4136000 in words is "four million, one hundred thirty-six thousand".