36144 has 30 divisors (see below), whose sum is σ = 101556. Its totient is φ = 12000.

The previous prime is 36137. The next prime is 36151. The reversal of 36144 is 44163.

It is an interprime number because it is at equal distance from previous prime (36137) and next prime (36151).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36144.

It is an unprimeable number.

36144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19 + ... + 269.

2³⁶¹⁴⁴ 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 36144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778).

36144 is an abundant number, since it is smaller than the sum of its proper divisors (65412).

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

36144 is a wasteful number, since it uses less digits than its factorization.

36144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 36144 is about 190.1157542131. The cubic root of 36144 is about 33.0632396148.

It can be divided in two parts, 36 and 144, that multiplied together give a square (5184 = 72²).

The spelling of 36144 in words is "thirty-six thousand, one hundred forty-four".