144038880 has 144 divisors (see below), whose sum is σ = 513021600. Its totient is φ = 36731904.

The previous prime is 144038833. The next prime is 144038887. The reversal of 144038880 is 88830441.

144038880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144038887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30946 + ... + 35294.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2^144038880 is an apocalyptic number.

144038880 is a gapful number since it is divisible by the number (10) 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 144038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256510800).

144038880 is an abundant number, since it is smaller than the sum of its proper divisors (368982720).

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

144038880 is a wasteful number, since it uses less digits than its factorization.

144038880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 144038880 is about 12001.6198906648. The cubic root of 144038880 is about 524.1954479419.

The spelling of 144038880 in words is "one hundred forty-four million, thirty-eight thousand, eight hundred eighty".