14145142000 has 120 divisors (see below), whose sum is σ = 37595624976. Its totient is φ = 5143600000.

The previous prime is 14145141977. The next prime is 14145142001. The reversal of 14145142000 is 24154141.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145142001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212775 + ... + 271225.

Almost surely, 2^14145142000 is an apocalyptic number.

14145142000 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 14145142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797812488).

14145142000 is an abundant number, since it is smaller than the sum of its proper divisors (23450482976).

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

14145142000 is a wasteful number, since it uses less digits than its factorization.

14145142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58496 (or 58469 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 14145142000 its reverse (24154141), we get a palindrome (14169296141).

The spelling of 14145142000 in words is "fourteen billion, one hundred forty-five million, one hundred forty-two thousand".