14538000 has 80 divisors (see below), whose sum is σ = 46889856. Its totient is φ = 3875200.

The previous prime is 14537989. The next prime is 14538037. The reversal of 14538000 is 83541.

14538000 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 super-2 number, since 2×14538000² = 422706888000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789 + ... + 7211.

Almost surely, 2^14538000 is an apocalyptic number.

14538000 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 14538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444928).

14538000 is an abundant number, since it is smaller than the sum of its proper divisors (32351856).

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

14538000 is a wasteful number, since it uses less digits than its factorization.

14538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 14538000 is about 3812.8729325798. The cubic root of 14538000 is about 244.0627805846.

It can be divided in two parts, 1453 and 8000, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 14538000 in words is "fourteen million, five hundred thirty-eight thousand".