144102243414300 has 288 divisors, whose sum is σ = 428220604627200. Its totient is φ = 37399097548800.

The previous prime is 144102243414263. The next prime is 144102243414343. The reversal of 144102243414300 is 3414342201441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5621734284 + ... + 5621759916.

It is an arithmetic number, because the mean of its divisors is an integer number (1486877099400).

Almost surely, 2^{144102243414300} is an apocalyptic number.

144102243414300 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 144102243414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214110302313600).

144102243414300 is an abundant number, since it is smaller than the sum of its proper divisors (284118361212900).

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

144102243414300 is a wasteful number, since it uses less digits than its factorization.

144102243414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28533 (or 28526 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144102243414300 its reverse (3414342201441), we get a palindrome (147516585615741).

The spelling of 144102243414300 in words is "one hundred forty-four trillion, one hundred two billion, two hundred forty-three million, four hundred fourteen thousand, three hundred".