144036480 has 192 divisors, whose sum is σ = 534422880. Its totient is φ = 32901120.

The previous prime is 144036469. The next prime is 144036481. The reversal of 144036480 is 84630441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144036481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93315 + ... + 94845.

Almost surely, 2^144036480 is an apocalyptic number.

144036480 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 144036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267211440).

144036480 is an abundant number, since it is smaller than the sum of its proper divisors (390386400).

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

144036480 is a wasteful number, since it uses less digits than its factorization.

144036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144036480 is about 12001.5199037455. The cubic root of 144036480 is about 524.1925365149.

The spelling of 144036480 in words is "one hundred forty-four million, thirty-six thousand, four hundred eighty".