144708480 has 384 divisors, whose sum is σ = 592562880. Its totient is φ = 31850496.

The previous prime is 144708451. The next prime is 144708481. The reversal of 144708480 is 84807441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 (144708481) 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, 1491792 + ... + 1491888.

Almost surely, 2^144708480 is an apocalyptic number.

144708480 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 144708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

144708480 is an abundant number, since it is smaller than the sum of its proper divisors (447854400).

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

144708480 is a wasteful number, since it uses less digits than its factorization.

144708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 144708480 is about 12029.4837794479. The cubic root of 144708480 is about 525.0064761106.

The spelling of 144708480 in words is "one hundred forty-four million, seven hundred eight thousand, four hundred eighty".