144864720 has 640 divisors, whose sum is σ = 679956480. Its totient is φ = 27371520.

The previous prime is 144864679. The next prime is 144864737. The reversal of 144864720 is 27468441.

144864720 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 647 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162127 + ... + 2162193.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^144864720 is an apocalyptic number.

144864720 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 144864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339978240).

144864720 is an abundant number, since it is smaller than the sum of its proper divisors (535091760).

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

144864720 is a wasteful number, since it uses less digits than its factorization.

144864720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 144864720 is about 12035.9760717609. The cubic root of 144864720 is about 525.1953558692.

The spelling of 144864720 in words is "one hundred forty-four million, eight hundred sixty-four thousand, seven hundred twenty".