14135187924 has 288 divisors, whose sum is σ = 45227040768. Its totient is φ = 3659040000.

The previous prime is 14135187887. The next prime is 14135187953. The reversal of 14135187924 is 42978153141.

14135187924 is a `hidden beast` number, since 1 + 41 + 3 + 518 + 7 + 92 + 4 = 666.

14135187924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 14135187924.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3668599 + ... + 3672449.

It is an arithmetic number, because the mean of its divisors is an integer number (157038336).

Almost surely, 2^14135187924 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 14135187924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613520384).

14135187924 is an abundant number, since it is smaller than the sum of its proper divisors (31091852844).

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

14135187924 is a wasteful number, since it uses less digits than its factorization.

14135187924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3934 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 14135187924 in words is "fourteen billion, one hundred thirty-five million, one hundred eighty-seven thousand, nine hundred twenty-four".