144313000000 has 392 divisors, whose sum is σ = 408795861096. Its totient is φ = 50073600000.

The previous prime is 144312999989. The next prime is 144313000019. The reversal of 144313000000 is 313441.

It can be written as a sum of positive squares in 28 ways, for example, as 41215496256 + 103097503744 = 203016^2 + 321088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 220999674 + ... + 221000326.

Almost surely, 2^144313000000 is an apocalyptic number.

144313000000 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 144313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204397930548).

144313000000 is an abundant number, since it is smaller than the sum of its proper divisors (264482861096).

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

144313000000 is an frugal number, since it uses more digits than its factorization.

144313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 144313000000 its reverse (313441), we get a palindrome (144313313441).

The spelling of 144313000000 in words is "one hundred forty-four billion, three hundred thirteen million", and thus it is an aban number.