13125194208 has 288 divisors, whose sum is σ = 44878498560. Its totient is φ = 3655756800.

The previous prime is 13125194189. The next prime is 13125194209. The reversal of 13125194208 is 80249152131.

13125194208 is a `hidden beast` number, since 1 + 312 + 51 + 94 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125194209) 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, 10166043 + ... + 10167333.

It is an arithmetic number, because the mean of its divisors is an integer number (155828120).

Almost surely, 2^13125194208 is an apocalyptic number.

13125194208 is a gapful number since it is divisible by the number (18) 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 13125194208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439249280).

13125194208 is an abundant number, since it is smaller than the sum of its proper divisors (31753304352).

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

13125194208 is a wasteful number, since it uses less digits than its factorization.

13125194208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13125194208 in words is "thirteen billion, one hundred twenty-five million, one hundred ninety-four thousand, two hundred eight".