144601005120 has 448 divisors, whose sum is σ = 544764407040. Its totient is φ = 32034816000.

The previous prime is 144601005113. The next prime is 144601005179. The reversal of 144601005120 is 21500106441.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13860066 + ... + 13870494.

It is an arithmetic number, because the mean of its divisors is an integer number (1215991980).

Almost surely, 2^144601005120 is an apocalyptic number.

144601005120 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 144601005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272382203520).

144601005120 is an abundant number, since it is smaller than the sum of its proper divisors (400163401920).

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

144601005120 is a wasteful number, since it uses less digits than its factorization.

144601005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 144601005120 in words is "one hundred forty-four billion, six hundred one million, five thousand, one hundred twenty".