144312275140 has 192 divisors, whose sum is σ = 340378536960. Its totient is φ = 50956738560.

The previous prime is 144312275131. The next prime is 144312275197. The reversal of 144312275140 is 41572213441.

It is a junction number, because it is equal to n+sod(n) for n = 144312275096 and 144312275105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386895994 + ... + 386896366.

It is an arithmetic number, because the mean of its divisors is an integer number (1772804880).

Almost surely, 2^144312275140 is an apocalyptic number.

144312275140 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 144312275140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170189268480).

144312275140 is an abundant number, since it is smaller than the sum of its proper divisors (196066261820).

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

144312275140 is a wasteful number, since it uses less digits than its factorization.

144312275140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 144312275140 its reverse (41572213441), we get a palindrome (185884488581).

The spelling of 144312275140 in words is "one hundred forty-four billion, three hundred twelve million, two hundred seventy-five thousand, one hundred forty".