144478080 has 192 divisors, whose sum is σ = 517935600. Its totient is φ = 38486016.

The previous prime is 144478069. The next prime is 144478097. The reversal of 144478080 is 80874441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155056 + ... + 155984.

Almost surely, 2^144478080 is an apocalyptic number.

144478080 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 144478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

144478080 is an abundant number, since it is smaller than the sum of its proper divisors (373457520).

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

144478080 is an frugal number, since it uses more digits than its factorization.

144478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 144478080 is about 12019.9034937890. The cubic root of 144478080 is about 524.7276955215.

It can be divided in two parts, 1444 and 78080, that added together give a square (79524 = 282²).

The spelling of 144478080 in words is "one hundred forty-four million, four hundred seventy-eight thousand, eighty".