4013136 has 90 divisors (see below), whose sum is σ = 12005370. Its totient is φ = 1249920.

The previous prime is 4013111. The next prime is 4013153. The reversal of 4013136 is 6313104.

Added to its reverse (6313104) it gives a triangular number (10326240 = T₄₅₄₄).

4013136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 553536 = 1860^2 + 744^2 .

It is a super-2 number, since 2×4013136² = 32210521108992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 129441 + ... + 129471.

It is an arithmetic number, because the mean of its divisors is an integer number (133393).

Almost surely, 2^4013136 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 4013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002685).

4013136 is an abundant number, since it is smaller than the sum of its proper divisors (7992234).

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

4013136 is a wasteful number, since it uses less digits than its factorization.

4013136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4013136 is about 2003.2813082540. The cubic root of 4013136 is about 158.9136828274.

Adding to 4013136 its reverse (6313104), we get a triangular number (10326240 = T₄₅₄₄).

Subtracting 4013136 from its reverse (6313104), we obtain a cube (2299968 = 132³).

The spelling of 4013136 in words is "four million, thirteen thousand, one hundred thirty-six".