144816880 has 80 divisors (see below), whose sum is σ = 383975424. Its totient is φ = 50319360.

The previous prime is 144816871. The next prime is 144816883. The reversal of 144816880 is 88618441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144816883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13585 + ... + 21775.

Almost surely, 2^144816880 is an apocalyptic number.

144816880 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 144816880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191987712).

144816880 is an abundant number, since it is smaller than the sum of its proper divisors (239158544).

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

144816880 is a wasteful number, since it uses less digits than its factorization.

144816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 144816880 is about 12033.9885324858. The cubic root of 144816880 is about 525.1375361504.

The spelling of 144816880 in words is "one hundred forty-four million, eight hundred sixteen thousand, eight hundred eighty".