144255034000 has 640 divisors, whose sum is σ = 458610647040. Its totient is φ = 42552576000.

The previous prime is 144255033953. The next prime is 144255034057. The reversal of 144255034000 is 430552441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144255034000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 492337854 + ... + 492338146.

It is an arithmetic number, because the mean of its divisors is an integer number (716579136).

Almost surely, 2^144255034000 is an apocalyptic number.

144255034000 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 144255034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229305323520).

144255034000 is an abundant number, since it is smaller than the sum of its proper divisors (314355613040).

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

144255034000 is a wasteful number, since it uses less digits than its factorization.

144255034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 144255034000 its reverse (430552441), we get a palindrome (144685586441).

The spelling of 144255034000 in words is "one hundred forty-four billion, two hundred fifty-five million, thirty-four thousand".