144003564100 has 108 divisors (see below), whose sum is σ = 347618969712. Its totient is φ = 51733668800.

The previous prime is 144003564059. The next prime is 144003564119. The reversal of 144003564100 is 1465300441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 932607 + ... + 1075993.

It is an arithmetic number, because the mean of its divisors is an integer number (3218694164).

Almost surely, 2^144003564100 is an apocalyptic number.

144003564100 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 144003564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809484856).

144003564100 is an abundant number, since it is smaller than the sum of its proper divisors (203615405612).

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

144003564100 is a wasteful number, since it uses less digits than its factorization.

144003564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143506 (or 143488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 144003564100 its reverse (1465300441), we get a palindrome (145468864541).

The spelling of 144003564100 in words is "one hundred forty-four billion, three million, five hundred sixty-four thousand, one hundred".