144632224 has 48 divisors (see below), whose sum is σ = 312058656. Its totient is φ = 65440000.

The previous prime is 144632197. The next prime is 144632227. The reversal of 144632224 is 422236441.

It is a junction number, because it is equal to n+sod(n) for n = 144632192 and 144632201.

It is not an unprimeable number, because it can be changed into a prime (144632227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87534 + ... + 89170.

It is an arithmetic number, because the mean of its divisors is an integer number (6501222).

Almost surely, 2^144632224 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 144632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

144632224 is an abundant number, since it is smaller than the sum of its proper divisors (167426432).

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

144632224 is a wasteful number, since it uses less digits than its factorization.

144632224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1901 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 144632224 is about 12026.3138159621. The cubic root of 144632224 is about 524.9142402623.

Adding to 144632224 its reverse (422236441), we get a palindrome (566868665).

It can be divided in two parts, 1446 and 32224, that added together give a triangular number (33670 = T₂₅₉).

The spelling of 144632224 in words is "one hundred forty-four million, six hundred thirty-two thousand, two hundred twenty-four".