14133840 has 160 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 3144192.

The previous prime is 14133829. The next prime is 14133859. The reversal of 14133840 is 4833141.

14133840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14133840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78871 + ... + 79049.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^14133840 is an apocalyptic number.

14133840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3759×3760.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

14133840 is an abundant number, since it is smaller than the sum of its proper divisors (37291440).

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

14133840 is a wasteful number, since it uses less digits than its factorization.

14133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14133840 is about 3759.4999667509. The cubic root of 14133840 is about 241.7798238735.

Adding to 14133840 its reverse (4833141), we get a palindrome (18966981).

It can be divided in two parts, 1413 and 3840, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 14133840 in words is "fourteen million, one hundred thirty-three thousand, eight hundred forty".