144391032 has 128 divisors (see below), whose sum is σ = 426816000. Its totient is φ = 45100800.

The previous prime is 144391031. The next prime is 144391063. The reversal of 144391032 is 230193441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144390987 and 144391005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144391031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619588 + ... + 619820.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2^144391032 is an apocalyptic number.

144391032 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 144391032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408000).

144391032 is an abundant number, since it is smaller than the sum of its proper divisors (282424968).

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

144391032 is a wasteful number, since it uses less digits than its factorization.

144391032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 144391032 is about 12016.2819540821. The cubic root of 144391032 is about 524.6222915902.

The spelling of 144391032 in words is "one hundred forty-four million, three hundred ninety-one thousand, thirty-two".