4136 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1840.

The previous prime is 4133. The next prime is 4139. The reversal of 4136 is 6314.

It is an interprime number because it is at equal distance from previous prime (4133) and next prime (4139).

It is a d-powerful number, because it can be written as 4⁶ + 3 + 1 + 6² .

It is a plaindrome in base 12 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4136.

It is not an unprimeable number, because it can be changed into a prime (4133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2⁴¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

4136 is an abundant number, since it is smaller than the sum of its proper divisors (4504).

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

4136 is a wasteful number, since it uses less digits than its factorization.

4136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

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

The square root of 4136 is about 64.3117407633. The cubic root of 4136 is about 16.0519147051.

Multiplying 4136 by its product of digits (72), we get a palindrome (297792).

It can be divided in two parts, 41 and 36, that added together give a palindrome (77).

The spelling of 4136 in words is "four thousand, one hundred thirty-six".