13127736528 has 40 divisors (see below), whose sum is σ = 37681467200. Its totient is φ = 4375912032.

The previous prime is 13127736527. The next prime is 13127736533. The reversal of 13127736528 is 82563772131.

13127736528 is a `hidden beast` number, since 1 + 31 + 27 + 73 + 6 + 528 = 666.

13127736528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127736527) 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 7 ways as a sum of consecutive naturals, for example, 15193708 + ... + 15194571.

It is an arithmetic number, because the mean of its divisors is an integer number (942036680).

Almost surely, 2^13127736528 is an apocalyptic number.

13127736528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13127736528 is an abundant number, since it is smaller than the sum of its proper divisors (24553730672).

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

13127736528 is a wasteful number, since it uses less digits than its factorization.

13127736528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30388296 (or 30388284 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 13127736528 in words is "thirteen billion, one hundred twenty-seven million, seven hundred thirty-six thousand, five hundred twenty-eight".