14125140 has 72 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 3723264.

The previous prime is 14125129. The next prime is 14125169. The reversal of 14125140 is 4152141.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 10732176 = 1842^2 + 3276^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17056 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^14125140 is an apocalyptic number.

14125140 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 14125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

14125140 is an abundant number, since it is smaller than the sum of its proper divisors (29216340).

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

14125140 is a wasteful number, since it uses less digits than its factorization.

14125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 14125140 is about 3758.3427198700. The cubic root of 14125140 is about 241.7302049870.

Adding to 14125140 its reverse (4152141), we get a palindrome (18277281).

It can be divided in two parts, 141 and 25140, that added together give a square (25281 = 159²).

The spelling of 14125140 in words is "fourteen million, one hundred twenty-five thousand, one hundred forty".