144012314000 has 40 divisors (see below), whose sum is σ = 348221780088. Its totient is φ = 57604924800.

The previous prime is 144012313999. The next prime is 144012314009. The reversal of 144012314000 is 413210441.

It can be written as a sum of positive squares in 4 ways, for example, as 1149481216 + 142862832784 = 33904^2 + 377972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144012314009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36001079 + ... + 36005078.

Almost surely, 2^144012314000 is an apocalyptic number.

144012314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144012314000 is an abundant number, since it is smaller than the sum of its proper divisors (204209466088).

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

144012314000 is an equidigital number, since it uses as much as digits as its factorization.

144012314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72006180 (or 72006164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144012314000 its reverse (413210441), we get a palindrome (144425524441).

The spelling of 144012314000 in words is "one hundred forty-four billion, twelve million, three hundred fourteen thousand".