136047608928 has 432 divisors, whose sum is σ = 489030587136. Its totient is φ = 34854243840.

The previous prime is 136047608927. The next prime is 136047608971. The reversal of 136047608928 is 829806740631.

136047608928 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 4 + 7 + 608 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136047608923) 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 71 ways as a sum of consecutive naturals, for example, 138399925 + ... + 138400907.

It is an arithmetic number, because the mean of its divisors is an integer number (1132015248).

Almost surely, 2^136047608928 is an apocalyptic number.

136047608928 is a gapful number since it is divisible by the number (18) 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 136047608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244515293568).

136047608928 is an abundant number, since it is smaller than the sum of its proper divisors (352982978208).

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

136047608928 is a wasteful number, since it uses less digits than its factorization.

136047608928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 136047608928 in words is "one hundred thirty-six billion, forty-seven million, six hundred eight thousand, nine hundred twenty-eight".