144080352 has 144 divisors (see below), whose sum is σ = 456805440. Its totient is φ = 42771456.

The previous prime is 144080327. The next prime is 144080383. The reversal of 144080352 is 253080441.

144080352 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107913 + ... + 109239.

It is an arithmetic number, because the mean of its divisors is an integer number (3172260).

Almost surely, 2^144080352 is an apocalyptic number.

144080352 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 144080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228402720).

144080352 is an abundant number, since it is smaller than the sum of its proper divisors (312725088).

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

144080352 is a wasteful number, since it uses less digits than its factorization.

144080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144080352 is about 12003.3475330843. The cubic root of 144080352 is about 524.2457522938.

The spelling of 144080352 in words is "one hundred forty-four million, eighty thousand, three hundred fifty-two".