144414720 has 144 divisors (see below), whose sum is σ = 500834880. Its totient is φ = 38486016.

The previous prime is 144414703. The next prime is 144414731. The reversal of 144414720 is 27414441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×144414720² = 41711222705356800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91377 + ... + 92943.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2^144414720 is an apocalyptic number.

144414720 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 144414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

144414720 is an abundant number, since it is smaller than the sum of its proper divisors (356420160).

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

144414720 is a wasteful number, since it uses less digits than its factorization.

144414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144414720 is about 12017.2675762837. The cubic root of 144414720 is about 524.6509789058.

The spelling of 144414720 in words is "one hundred forty-four million, four hundred fourteen thousand, seven hundred twenty".