144100112034300 has 144 divisors (see below), whose sum is σ = 417794101466112. Its totient is φ = 38347105779200.

The previous prime is 144100112034271. The next prime is 144100112034301. The reversal of 144100112034300 is 3430211001441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100112034301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283759615 + ... + 284266985.

It is an arithmetic number, because the mean of its divisors is an integer number (2901347926848).

Almost surely, 2^{144100112034300} is an apocalyptic number.

144100112034300 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 144100112034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208897050733056).

144100112034300 is an abundant number, since it is smaller than the sum of its proper divisors (273693989431812).

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

144100112034300 is a wasteful number, since it uses less digits than its factorization.

144100112034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509348 (or 509341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144100112034300 its reverse (3430211001441), we get a palindrome (147530323035741).

The spelling of 144100112034300 in words is "one hundred forty-four trillion, one hundred billion, one hundred twelve million, thirty-four thousand, three hundred".