144631344 has 160 divisors (see below), whose sum is σ = 462470400. Its totient is φ = 38292480.

The previous prime is 144631343. The next prime is 144631369. The reversal of 144631344 is 443136441.

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 (144631343) 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 31 ways as a sum of consecutive naturals, for example, 129862 + ... + 130970.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2^144631344 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 144631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

144631344 is an abundant number, since it is smaller than the sum of its proper divisors (317839056).

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

144631344 is a wasteful number, since it uses less digits than its factorization.

144631344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 144631344 is about 12026.2772294671. The cubic root of 144631344 is about 524.9131756645.

Adding to 144631344 its reverse (443136441), we get a palindrome (587767785).

The spelling of 144631344 in words is "one hundred forty-four million, six hundred thirty-one thousand, three hundred forty-four".