13146913800 has 144 divisors (see below), whose sum is σ = 44774009280. Its totient is φ = 3456432000.

The previous prime is 13146913799. The next prime is 13146913817. The reversal of 13146913800 is 831964131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76365 + ... + 179235.

It is an arithmetic number, because the mean of its divisors is an integer number (310930620).

Almost surely, 2^13146913800 is an apocalyptic number.

13146913800 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 13146913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387004640).

13146913800 is an abundant number, since it is smaller than the sum of its proper divisors (31627095480).

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

13146913800 is a wasteful number, since it uses less digits than its factorization.

13146913800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102964 (or 102952 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13146913800 in words is "thirteen billion, one hundred forty-six million, nine hundred thirteen thousand, eight hundred".