4136144 has 30 divisors (see below), whose sum is σ = 8311410. Its totient is φ = 1993920.

The previous prime is 4136137. The next prime is 4136147. The reversal of 4136144 is 4416314.

It can be written as a sum of positive squares in only one way, i.e., 2598544 + 1537600 = 1612^2 + 1240^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15242 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (277047).

Almost surely, 2^4136144 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 4136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155705).

4136144 is an abundant number, since it is smaller than the sum of its proper divisors (4175266).

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

4136144 is a wasteful number, since it uses less digits than its factorization.

4136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 302 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 4136144 is about 2033.7512138902. The cubic root of 4136144 is about 160.5210099210.

The spelling of 4136144 in words is "four million, one hundred thirty-six thousand, one hundred forty-four".