14238000 has 240 divisors, whose sum is σ = 57335616. Its totient is φ = 3225600.

The previous prime is 14237983. The next prime is 14238001. The reversal of 14238000 is 83241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14238001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125944 + ... + 126056.

Almost surely, 2^14238000 is an apocalyptic number.

14238000 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 14238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667808).

14238000 is an abundant number, since it is smaller than the sum of its proper divisors (43097616).

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

14238000 is a wasteful number, since it uses less digits than its factorization.

14238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14238000 is about 3773.3274440472. The cubic root of 14238000 is about 242.3723067405.

The spelling of 14238000 in words is "fourteen million, two hundred thirty-eight thousand".