144268824 has 64 divisors (see below), whose sum is σ = 433900800. Its totient is φ = 39049344.

The previous prime is 144268799. The next prime is 144268829. The reversal of 144268824 is 428862441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144268829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19407 + ... + 25790.

It is an arithmetic number, because the mean of its divisors is an integer number (6779700).

Almost surely, 2^144268824 is an apocalyptic number.

144268824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144268824 is an abundant number, since it is smaller than the sum of its proper divisors (289631976).

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

144268824 is a wasteful number, since it uses less digits than its factorization.

144268824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45232 (or 45228 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 144268824 is about 12011.1957772738. The cubic root of 144268824 is about 524.4742419125.

The spelling of 144268824 in words is "one hundred forty-four million, two hundred sixty-eight thousand, eight hundred twenty-four".