14134402100 has 144 divisors (see below), whose sum is σ = 39737040000. Its totient is φ = 4237816320.

The previous prime is 14134402063. The next prime is 14134402103. The reversal of 14134402100 is 120443141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134402103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132026 + ... + 213774.

Almost surely, 2^14134402100 is an apocalyptic number.

14134402100 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 14134402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868520000).

14134402100 is an abundant number, since it is smaller than the sum of its proper divisors (25602637900).

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

14134402100 is a wasteful number, since it uses less digits than its factorization.

14134402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81802 (or 81795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14134402100 its reverse (120443141), we get a palindrome (14254845241).

The spelling of 14134402100 in words is "fourteen billion, one hundred thirty-four million, four hundred two thousand, one hundred".