144300204033020 has 384 divisors, whose sum is σ = 373778244403200. Its totient is φ = 45671835598848.

The previous prime is 144300204032953. The next prime is 144300204033043. The reversal of 144300204033020 is 20330402003441.

It is a super-3 number, since 3×144300204033020³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60401925986 + ... + 60401928374.

It is an arithmetic number, because the mean of its divisors is an integer number (973380844800).

Almost surely, 2^{144300204033020} is an apocalyptic number.

144300204033020 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 144300204033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186889122201600).

144300204033020 is an abundant number, since it is smaller than the sum of its proper divisors (229478040370180).

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

144300204033020 is a wasteful number, since it uses less digits than its factorization.

144300204033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 144300204033020 its reverse (20330402003441), we get a palindrome (164630606036461).

The spelling of 144300204033020 in words is "one hundred forty-four trillion, three hundred billion, two hundred four million, thirty-three thousand, twenty".