136527334002468 has 36 divisors (see below), whose sum is σ = 365411393949420. Its totient is φ = 42832104784896.

The previous prime is 136527334002391. The next prime is 136527334002569. The reversal of 136527334002468 is 864200433725631.

136527334002468 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 273 + 340 + 0 + 24 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123792370944804 + 12734963057664 = 11126202^2 + 3568608^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111541938933 + ... + 111541940156.

It is an arithmetic number, because the mean of its divisors is an integer number (10150316498595).

Almost surely, 2^{136527334002468} is an apocalyptic number.

136527334002468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136527334002468 is an abundant number, since it is smaller than the sum of its proper divisors (228884059946952).

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

136527334002468 is a wasteful number, since it uses less digits than its factorization.

136527334002468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223083879116 (or 223083879111 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 136527334002468 in words is "one hundred thirty-six trillion, five hundred twenty-seven billion, three hundred thirty-four million, two thousand, four hundred sixty-eight".