144120200030300 has 216 divisors, whose sum is σ = 339424594185600. Its totient is φ = 53091762197760.

The previous prime is 144120200030273. The next prime is 144120200030311. The reversal of 144120200030300 is 3030002021441.

It is a super-3 number, since 3×144120200030300³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19321647971 + ... + 19321655429.

Almost surely, 2^{144120200030300} is an apocalyptic number.

144120200030300 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 144120200030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169712297092800).

144120200030300 is an abundant number, since it is smaller than the sum of its proper divisors (195304394155300).

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

144120200030300 is a wasteful number, since it uses less digits than its factorization.

144120200030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 144120200030300 its reverse (3030002021441), we get a palindrome (147150202051741).

The spelling of 144120200030300 in words is "one hundred forty-four trillion, one hundred twenty billion, two hundred million, thirty thousand, three hundred".