144144 has 120 divisors (see below), whose sum is σ = 541632. Its totient is φ = 34560.

The previous prime is 144139. The next prime is 144161. The reversal of 144144 is 441441.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11082 + ... + 11094.

2¹⁴⁴¹⁴⁴ is an apocalyptic number.

144144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

144144 is an abundant number, since it is smaller than the sum of its proper divisors (397488).

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

144144 is a wasteful number, since it uses less digits than its factorization.

144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 144144 is about 379.6630084694. The cubic root of 144144 is about 52.4322936728.

144144 divided by its sum of digits (18) gives a palindrome (8008).

Adding to 144144 its product of digits (256), we get a square (144400 = 380²).

Adding to 144144 its reverse (441441), we get a palindrome (585585).

Multiplying 144144 by its reverse (441441), we get a square (63631071504 = 252252²).

It can be divided in two parts, 1441 and 44, that added together give a triangular number (1485 = T₅₄).

The spelling of 144144 in words is "one hundred forty-four thousand, one hundred forty-four", and thus it is an iban number.