13145045760 has 1296 divisors, whose sum is σ = 60523575840. Its totient is φ = 2601123840.

The previous prime is 13145045741. The next prime is 13145045773. The reversal of 13145045760 is 6754054131.

13145045760 is a `hidden beast` number, since 1 + 3 + 145 + 0 + 457 + 60 = 666.

It is a super-3 number, since 3×13145045760³ (a number of 31 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 180069084 + ... + 180069156.

It is an arithmetic number, because the mean of its divisors is an integer number (46700290).

Almost surely, 2^13145045760 is an apocalyptic number.

13145045760 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 13145045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30261787920).

13145045760 is an abundant number, since it is smaller than the sum of its proper divisors (47378530080).

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

13145045760 is a wasteful number, since it uses less digits than its factorization.

13145045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 13145045760 its reverse (6754054131), we get a palindrome (19899099891).

The spelling of 13145045760 in words is "thirteen billion, one hundred forty-five million, forty-five thousand, seven hundred sixty".