144412032 has 128 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 45258752.

The previous prime is 144412019. The next prime is 144412039. The reversal of 144412032 is 230214441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144412039) 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 15 ways as a sum of consecutive naturals, for example, 732958 + ... + 733154.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^144412032 is an apocalyptic number.

144412032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

144412032 is an abundant number, since it is smaller than the sum of its proper divisors (262739328).

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

144412032 is a wasteful number, since it uses less digits than its factorization.

144412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144412032 is about 12017.1557366958. The cubic root of 144412032 is about 524.6477237654.

Adding to 144412032 its reverse (230214441), we get a palindrome (374626473).

The spelling of 144412032 in words is "one hundred forty-four million, four hundred twelve thousand, thirty-two".