14132124 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 4354560.

The previous prime is 14132089. The next prime is 14132137. The reversal of 14132124 is 42123141.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (192) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 14132097 and 14132106.

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, 145644 + ... + 145740.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 2^14132124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

14132124 is an abundant number, since it is smaller than the sum of its proper divisors (25381476).

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

14132124 is a wasteful number, since it uses less digits than its factorization.

14132124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

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

The square root of 14132124 is about 3759.2717379833. The cubic root of 14132124 is about 241.7700385882.

Adding to 14132124 its reverse (42123141), we get a palindrome (56255265).

The spelling of 14132124 in words is "fourteen million, one hundred thirty-two thousand, one hundred twenty-four".