14512500135144 has 192 divisors, whose sum is σ = 43028974872000. Its totient is φ = 4382249794560.

The previous prime is 14512500135127. The next prime is 14512500135173. The reversal of 14512500135144 is 44153100521541.

14512500135144 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 500 + 1 + 3 + 5 + 144 = 666.

14512500135144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14512500135144² (a number of 27 digits) contains 22 as substring.

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 = 14512500135099 and 14512500135108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306736162 + ... + 306783470.

It is an arithmetic number, because the mean of its divisors is an integer number (224109244125).

Almost surely, 2^{14512500135144} 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 14512500135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21514487436000).

14512500135144 is an abundant number, since it is smaller than the sum of its proper divisors (28516474736856).

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

14512500135144 is a wasteful number, since it uses less digits than its factorization.

14512500135144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48688 (or 48681 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 14512500135144 its reverse (44153100521541), we get a palindrome (58665600656685).

The spelling of 14512500135144 in words is "fourteen trillion, five hundred twelve billion, five hundred million, one hundred thirty-five thousand, one hundred forty-four".