13146105600 has 648 divisors, whose sum is σ = 49819311360. Its totient is φ = 3428904960.

The previous prime is 13146105569. The next prime is 13146105611. The reversal of 13146105600 is 650164131.

13146105600 is a `hidden beast` number, since 1 + 3 + 1 + 46 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122860747 + ... + 122860853.

Almost surely, 2^13146105600 is an apocalyptic number.

13146105600 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 13146105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909655680).

13146105600 is an abundant number, since it is smaller than the sum of its proper divisors (36673205760).

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

13146105600 is an equidigital number, since it uses as much as digits as its factorization.

13146105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13146105600 its reverse (650164131), we get a palindrome (13796269731).

The spelling of 13146105600 in words is "thirteen billion, one hundred forty-six million, one hundred five thousand, six hundred".