144120480 has 192 divisors, whose sum is σ = 528353280. Its totient is φ = 32338944.

The previous prime is 144120467. The next prime is 144120481. The reversal of 144120480 is 84021441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144120480.

It is not an unprimeable number, because it can be changed into a prime (144120481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197877 + ... + 198603.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^144120480 is an apocalyptic number.

144120480 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 144120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

144120480 is an abundant number, since it is smaller than the sum of its proper divisors (384232800).

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

144120480 is a wasteful number, since it uses less digits than its factorization.

144120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 144120480 is about 12005.0189504224. The cubic root of 144120480 is about 524.2944172241.

The spelling of 144120480 in words is "one hundred forty-four million, one hundred twenty thousand, four hundred eighty".