14134680144 has 420 divisors, whose sum is σ = 46162063668. Its totient is φ = 4165447680.

The previous prime is 14134680143. The next prime is 14134680167. The reversal of 14134680144 is 44108643141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4046486544 + 10088193600 = 63612^2 + 100440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14134680099 and 14134680108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134680143) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 145718304 + ... + 145718400.

Almost surely, 2^14134680144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081031834).

14134680144 is an abundant number, since it is smaller than the sum of its proper divisors (32027383524).

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

14134680144 is an equidigital number, since it uses as much as digits as its factorization.

14134680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14134680144 in words is "fourteen billion, one hundred thirty-four million, six hundred eighty thousand, one hundred forty-four".