144320257000 has 128 divisors (see below), whose sum is σ = 356213894400. Its totient is φ = 54577440000.

The previous prime is 144320256959. The next prime is 144320257013. The reversal of 144320257000 is 752023441.

It is a self number, because there is not a number n which added to its sum of digits gives 144320257000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9549450 + ... + 9564550.

It is an arithmetic number, because the mean of its divisors is an integer number (2782921050).

Almost surely, 2^144320257000 is an apocalyptic number.

144320257000 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 144320257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178106947200).

144320257000 is an abundant number, since it is smaller than the sum of its proper divisors (211893637400).

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

144320257000 is a wasteful number, since it uses less digits than its factorization.

144320257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 144320257000 in words is "one hundred forty-four billion, three hundred twenty million, two hundred fifty-seven thousand".