144352044100 has 108 divisors (see below), whose sum is σ = 344527956612. Its totient is φ = 52458348800.

The previous prime is 144352044079. The next prime is 144352044119. The reversal of 144352044100 is 1440253441.

It can be written as a sum of positive squares in 6 ways, for example, as 19998485056 + 124353559044 = 141416^2 + 352638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27065034 + ... + 27070366.

Almost surely, 2^144352044100 is an apocalyptic number.

144352044100 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 144352044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172263978306).

144352044100 is an abundant number, since it is smaller than the sum of its proper divisors (200175912512).

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

144352044100 is a wasteful number, since it uses less digits than its factorization.

144352044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 144352044100 its reverse (1440253441), we get a palindrome (145792297541).

The spelling of 144352044100 in words is "one hundred forty-four billion, three hundred fifty-two million, forty-four thousand, one hundred".