144283824 has 60 divisors (see below), whose sum is σ = 407413656. Its totient is φ = 47663616.

The previous prime is 144283823. The next prime is 144283847. The reversal of 144283824 is 428382441.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (144283823) 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, 11839 + ... + 20705.

Almost surely, 2^144283824 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 144283824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203706828).

144283824 is an abundant number, since it is smaller than the sum of its proper divisors (263129832).

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

144283824 is a wasteful number, since it uses less digits than its factorization.

144283824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8985 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 144283824 is about 12011.8201784742. The cubic root of 144283824 is about 524.4924182603.

The spelling of 144283824 in words is "one hundred forty-four million, two hundred eighty-three thousand, eight hundred twenty-four".