360144 has 60 divisors (see below), whose sum is σ = 1049412. Its totient is φ = 115200.

The previous prime is 360091. The next prime is 360163. The reversal of 360144 is 441063.

360144 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 345744 = 120^2 + 588^2 .

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

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

360144 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 5874 + ... + 5934.

360144 is a Friedman number, since it can be written as 36*(10^4+4), using all its digits and the basic arithmetic operations.

2³⁶⁰¹⁴⁴ 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 360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524706).

360144 is an abundant number, since it is smaller than the sum of its proper divisors (689268).

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

360144 is a wasteful number, since it uses less digits than its factorization.

360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

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

The square root of 360144 is about 600.1199880024. The cubic root of 360144 is about 71.1473498742.

The spelling of 360144 in words is "three hundred sixty thousand, one hundred forty-four".