144768960 has 336 divisors, whose sum is σ = 585801216. Its totient is φ = 32126976.

The previous prime is 144768959. The next prime is 144768971. The reversal of 144768960 is 69867441.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866797 + ... + 866963.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 2^144768960 is an apocalyptic number.

144768960 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 144768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292900608).

144768960 is an abundant number, since it is smaller than the sum of its proper divisors (441032256).

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

144768960 is a wasteful number, since it uses less digits than its factorization.

144768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 144768960 is about 12031.9973404252. The cubic root of 144768960 is about 525.0796069760.

It can be divided in two parts, 14476 and 8960, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 144768960 in words is "one hundred forty-four million, seven hundred sixty-eight thousand, nine hundred sixty".