13800923136 has 1008 divisors, whose sum is σ = 57105633312. Its totient is φ = 3114270720.

The previous prime is 13800923111. The next prime is 13800923137. The reversal of 13800923136 is 63132900831.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13800923136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800923137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811819000 + ... + 811819016.

It is an arithmetic number, because the mean of its divisors is an integer number (56652414).

Almost surely, 2^13800923136 is an apocalyptic number.

13800923136 is a gapful number since it is divisible by the number (16) 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 13800923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28552816656).

13800923136 is an abundant number, since it is smaller than the sum of its proper divisors (43304710176).

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

13800923136 is a wasteful number, since it uses less digits than its factorization.

13800923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13800923136 in words is "thirteen billion, eight hundred million, nine hundred twenty-three thousand, one hundred thirty-six".