14145000800 has 144 divisors (see below), whose sum is σ = 39536969472. Its totient is φ = 4840819200.

The previous prime is 14145000791. The next prime is 14145000809. The reversal of 14145000800 is 800054141.

It is an interprime number because it is at equal distance from previous prime (14145000791) and next prime (14145000809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145000809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531599 + ... + 3535601.

It is an arithmetic number, because the mean of its divisors is an integer number (274562288).

Almost surely, 2^14145000800 is an apocalyptic number.

14145000800 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 14145000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768484736).

14145000800 is an abundant number, since it is smaller than the sum of its proper divisors (25391968672).

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

14145000800 is a wasteful number, since it uses less digits than its factorization.

14145000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 14145000800 its reverse (800054141), we get a palindrome (14945054941).

The spelling of 14145000800 in words is "fourteen billion, one hundred forty-five million, eight hundred", and thus it is an aban number.