14135100 has 144 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 3144960.

The previous prime is 14135071. The next prime is 14135111. The reversal of 14135100 is 153141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14135100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111237 + ... + 111363.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 2^14135100 is an apocalyptic number.

14135100 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 14135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

14135100 is an abundant number, since it is smaller than the sum of its proper divisors (33861828).

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

14135100 is a wasteful number, since it uses less digits than its factorization.

14135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 14135100 is about 3759.6675384933. The cubic root of 14135100 is about 241.7870083689.

Adding to 14135100 its reverse (153141), we get a palindrome (14288241).

The spelling of 14135100 in words is "fourteen million, one hundred thirty-five thousand, one hundred".