144077248128 has 128 divisors (see below), whose sum is σ = 419596992000. Its totient is φ = 43440122880.

The previous prime is 144077248103. The next prime is 144077248151. The reversal of 144077248128 is 821842770441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754875 + ... + 926277.

It is an arithmetic number, because the mean of its divisors is an integer number (3278101500).

Almost surely, 2^144077248128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144077248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209798496000).

144077248128 is an abundant number, since it is smaller than the sum of its proper divisors (275519743872).

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

144077248128 is a wasteful number, since it uses less digits than its factorization.

144077248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171630 (or 171618 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 144077248128 in words is "one hundred forty-four billion, seventy-seven million, two hundred forty-eight thousand, one hundred twenty-eight".