144252544700 has 72 divisors (see below), whose sum is σ = 341928896400. Its totient is φ = 52387302400.

The previous prime is 144252544699. The next prime is 144252544759. The reversal of 144252544700 is 7445252441.

144252544700 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765476 + ... + 935124.

It is an arithmetic number, because the mean of its divisors is an integer number (4749012450).

Almost surely, 2^144252544700 is an apocalyptic number.

144252544700 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 144252544700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170964448200).

144252544700 is an abundant number, since it is smaller than the sum of its proper divisors (197676351700).

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

144252544700 is a wasteful number, since it uses less digits than its factorization.

144252544700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170447 (or 170440 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 38.

The spelling of 144252544700 in words is "one hundred forty-four billion, two hundred fifty-two million, five hundred forty-four thousand, seven hundred".