144983013120 has 648 divisors, whose sum is σ = 563359987008. Its totient is φ = 34384035840.

The previous prime is 144983013113. The next prime is 144983013223. The reversal of 144983013120 is 21310389441.

144983013120 is a `hidden beast` number, since 1 + 4 + 498 + 30 + 13 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65513134 + ... + 65515346.

It is an arithmetic number, because the mean of its divisors is an integer number (869382696).

Almost surely, 2^144983013120 is an apocalyptic number.

144983013120 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 144983013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281679993504).

144983013120 is an abundant number, since it is smaller than the sum of its proper divisors (418376973888).

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

144983013120 is a wasteful number, since it uses less digits than its factorization.

144983013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 144983013120 in words is "one hundred forty-four billion, nine hundred eighty-three million, thirteen thousand, one hundred twenty".