144949824 has 70 divisors (see below), whose sum is σ = 429692054. Its totient is φ = 48314880.

The previous prime is 144949823. The next prime is 144949867. The reversal of 144949824 is 428949441.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 37454400 = 10368^2 + 6120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 144949824.

It is not an unprimeable number, because it can be changed into a prime (144949823) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8797 + ... + 19164.

Almost surely, 2^144949824 is an apocalyptic number.

It is an amenable number.

144949824 is an abundant number, since it is smaller than the sum of its proper divisors (284742230).

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

144949824 is an equidigital number, since it uses as much as digits as its factorization.

144949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27985 (or 27966 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 144949824 is about 12039.5109535230. The cubic root of 144949824 is about 525.2981816316.

The spelling of 144949824 in words is "one hundred forty-four million, nine hundred forty-nine thousand, eight hundred twenty-four".