144009824 has 72 divisors (see below), whose sum is σ = 341288640. Its totient is φ = 59571456.

The previous prime is 144009823. The next prime is 144009847. The reversal of 144009824 is 428900441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144009823) by changing a digit.

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, 43889 + ... + 47055.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^144009824 is an apocalyptic number.

144009824 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 144009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

144009824 is an abundant number, since it is smaller than the sum of its proper divisors (197278816).

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

144009824 is a wasteful number, since it uses less digits than its factorization.

144009824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 144009824 is about 12000.4093263522. The cubic root of 144009824 is about 524.1601980908.

The spelling of 144009824 in words is "one hundred forty-four million, nine thousand, eight hundred twenty-four".