144413280 has 240 divisors, whose sum is σ = 556539984. Its totient is φ = 34974720.

The previous prime is 144413263. The next prime is 144413293. The reversal of 144413280 is 82314441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 142054 + ... + 143066.

Almost surely, 2^144413280 is an apocalyptic number.

144413280 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 144413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278269992).

144413280 is an abundant number, since it is smaller than the sum of its proper divisors (412126704).

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

144413280 is a wasteful number, since it uses less digits than its factorization.

144413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144413280 is about 12017.2076623482. The cubic root of 144413280 is about 524.6492350856.

The spelling of 144413280 in words is "one hundred forty-four million, four hundred thirteen thousand, two hundred eighty".