144314880 has 320 divisors, whose sum is σ = 518538240. Its totient is φ = 34062336.

The previous prime is 144314869. The next prime is 144314939. The reversal of 144314880 is 88413441.

144314880 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356139 + ... + 3356181.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^144314880 is an apocalyptic number.

144314880 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 144314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

144314880 is an abundant number, since it is smaller than the sum of its proper divisors (374223360).

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

144314880 is a wasteful number, since it uses less digits than its factorization.

144314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 144314880 is about 12013.1128355643. The cubic root of 144314880 is about 524.5300465672.

The spelling of 144314880 in words is "one hundred forty-four million, three hundred fourteen thousand, eight hundred eighty".