34130727548136 has 96 divisors (see below), whose sum is σ = 92484523647360. Its totient is φ = 11371109358336.

The previous prime is 34130727548089. The next prime is 34130727548153. The reversal of 34130727548136 is 63184572703143.

34130727548136 is a `hidden beast` number, since 3 + 4 + 13 + 0 + 72 + 7 + 548 + 13 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422516556 + ... + 1422540548.

It is an arithmetic number, because the mean of its divisors is an integer number (963380454660).

Almost surely, 2^{34130727548136} is an apocalyptic number.

34130727548136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34130727548136 is an abundant number, since it is smaller than the sum of its proper divisors (58353796099224).

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

34130727548136 is a wasteful number, since it uses less digits than its factorization.

34130727548136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33255 (or 33248 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 34130727548136 in words is "thirty-four trillion, one hundred thirty billion, seven hundred twenty-seven million, five hundred forty-eight thousand, one hundred thirty-six".