144480000 has 360 divisors, whose sum is σ = 561920128. Its totient is φ = 32256000.

The previous prime is 144479987. The next prime is 144480013. The reversal of 144480000 is 84441.

It is an interprime number because it is at equal distance from previous prime (144479987) and next prime (144480013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359979 + ... + 3360021.

Almost surely, 2^144480000 is an apocalyptic number.

144480000 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 144480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280960064).

144480000 is an abundant number, since it is smaller than the sum of its proper divisors (417440128).

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

144480000 is an frugal number, since it uses more digits than its factorization.

144480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144480000 is about 12019.9833610534. The cubic root of 144480000 is about 524.7300199173.

The spelling of 144480000 in words is "one hundred forty-four million, four hundred eighty thousand".