13137061680 has 320 divisors, whose sum is σ = 46197043200. Its totient is φ = 3430702080.

The previous prime is 13137061669. The next prime is 13137061739. The reversal of 13137061680 is 8616073131.

13137061680 is a `hidden beast` number, since 1 + 3 + 1 + 37 + 0 + 616 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 28496650 + ... + 28497110.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 2^13137061680 is an apocalyptic number.

13137061680 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 13137061680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098521600).

13137061680 is an abundant number, since it is smaller than the sum of its proper divisors (33059981520).

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

13137061680 is a wasteful number, since it uses less digits than its factorization.

13137061680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13137061680 in words is "thirteen billion, one hundred thirty-seven million, sixty-one thousand, six hundred eighty".