13800129504 has 144 divisors (see below), whose sum is σ = 42195686400. Its totient is φ = 3937656576.

The previous prime is 13800129503. The next prime is 13800129521. The reversal of 13800129504 is 40592100831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800129503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791937 + ... + 4794815.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 2^13800129504 is an apocalyptic number.

13800129504 is a gapful number since it is divisible by the number (14) 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 13800129504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

13800129504 is an abundant number, since it is smaller than the sum of its proper divisors (28395556896).

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

13800129504 is a wasteful number, since it uses less digits than its factorization.

13800129504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 13800129504 in words is "thirteen billion, eight hundred million, one hundred twenty-nine thousand, five hundred four".