144514340000 has 120 divisors (see below), whose sum is σ = 364200409188. Its totient is φ = 56395520000.

The previous prime is 144514339961. The next prime is 144514340039. The reversal of 144514340000 is 43415441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144514339961) and next prime (144514340039).

It can be written as a sum of positive squares in 10 ways, for example, as 7842165136 + 136672174864 = 88556^2 + 369692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 731882 + ... + 908118.

Almost surely, 2^144514340000 is an apocalyptic number.

144514340000 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 144514340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182100204594).

144514340000 is an abundant number, since it is smaller than the sum of its proper divisors (219686069188).

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

144514340000 is an equidigital number, since it uses as much as digits as its factorization.

144514340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176308 (or 176285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 144514340000 its reverse (43415441), we get a palindrome (144557755441).

The spelling of 144514340000 in words is "one hundred forty-four billion, five hundred fourteen million, three hundred forty thousand".