14142000 has 80 divisors (see below), whose sum is σ = 45613152. Its totient is φ = 3769600.

The previous prime is 14141989. The next prime is 14142001. The reversal of 14142000 is 24141.

14142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14142001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4822 + ... + 7178.

Almost surely, 2^14142000 is an apocalyptic number.

14142000 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 14142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806576).

14142000 is an abundant number, since it is smaller than the sum of its proper divisors (31471152).

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

14142000 is a wasteful number, since it uses less digits than its factorization.

14142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14142000 is about 3760.5850608649. The cubic root of 14142000 is about 241.8263444653.

Adding to 14142000 its reverse (24141), we get a palindrome (14166141).

The spelling of 14142000 in words is "fourteen million, one hundred forty-two thousand".