13545288756 has 36 divisors (see below), whose sum is σ = 34542494532. Its totient is φ = 4475138304.

The previous prime is 13545288703. The next prime is 13545288761. The reversal of 13545288756 is 65788254531.

13545288756 is a `hidden beast` number, since 1 + 3 + 545 + 28 + 8 + 75 + 6 = 666.

13545288756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 692531856 + 12852756900 = 26316^2 + 113370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1660791 + ... + 1668926.

It is an arithmetic number, because the mean of its divisors is an integer number (959513737).

Almost surely, 2^13545288756 is an apocalyptic number.

It is an amenable number.

13545288756 is an abundant number, since it is smaller than the sum of its proper divisors (20997205776).

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

13545288756 is a wasteful number, since it uses less digits than its factorization.

13545288756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329840 (or 3329835 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 13545288756 in words is "thirteen billion, five hundred forty-five million, two hundred eighty-eight thousand, seven hundred fifty-six".