13145780160 has 252 divisors, whose sum is σ = 45735883128. Its totient is φ = 3465649152.

The previous prime is 13145780149. The next prime is 13145780161. The reversal of 13145780160 is 6108754131.

13145780160 is a `hidden beast` number, since 13 + 14 + 578 + 0 + 1 + 60 = 666.

13145780160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13145780161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46451379 + ... + 46451661.

Almost surely, 2^13145780160 is an apocalyptic number.

13145780160 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 13145780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867941564).

13145780160 is an abundant number, since it is smaller than the sum of its proper divisors (32590102968).

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

13145780160 is a wasteful number, since it uses less digits than its factorization.

13145780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13145780160 in words is "thirteen billion, one hundred forty-five million, seven hundred eighty thousand, one hundred sixty".