144034011214300 has 144 divisors (see below), whose sum is σ = 327483476591040. Its totient is φ = 54927233187840.

The previous prime is 144034011214271. The next prime is 144034011214309. The reversal of 144034011214300 is 3412110430441.

144034011214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034011214309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150323337 + ... + 151278463.

It is an arithmetic number, because the mean of its divisors is an integer number (2274190809660).

Almost surely, 2^{144034011214300} is an apocalyptic number.

144034011214300 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 144034011214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163741738295520).

144034011214300 is an abundant number, since it is smaller than the sum of its proper divisors (183449465376740).

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

144034011214300 is a wasteful number, since it uses less digits than its factorization.

144034011214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956000 (or 955993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144034011214300 its reverse (3412110430441), we get a palindrome (147446121644741).

The spelling of 144034011214300 in words is "one hundred forty-four trillion, thirty-four billion, eleven million, two hundred fourteen thousand, three hundred".