144912720 has 80 divisors (see below), whose sum is σ = 461399040. Its totient is φ = 37596672.

The previous prime is 144912589. The next prime is 144912731. The reversal of 144912720 is 27219441.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (5767488).

Almost surely, 2^144912720 is an apocalyptic number.

144912720 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 144912720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

144912720 is an abundant number, since it is smaller than the sum of its proper divisors (316486320).

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

144912720 is a wasteful number, since it uses less digits than its factorization.

144912720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16372 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144912720 is about 12037.9699285220. The cubic root of 144912720 is about 525.2533561730.

The spelling of 144912720 in words is "one hundred forty-four million, nine hundred twelve thousand, seven hundred twenty".