144990720 has 480 divisors, whose sum is σ = 612817920. Its totient is φ = 30965760.

The previous prime is 144990709. The next prime is 144990721. The reversal of 144990720 is 27099441.

144990720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×144990720² = 42044617772236800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144990721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4677105 + ... + 4677135.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^144990720 is an apocalyptic number.

144990720 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 144990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

144990720 is an abundant number, since it is smaller than the sum of its proper divisors (467827200).

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

144990720 is a wasteful number, since it uses less digits than its factorization.

144990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 144990720 is about 12041.2092416003. The cubic root of 144990720 is about 525.3475793561.

The spelling of 144990720 in words is "one hundred forty-four million, nine hundred ninety thousand, seven hundred twenty".