136847812608 has 960 divisors, whose sum is σ = 479480601600. Its totient is φ = 38539100160.

The previous prime is 136847812601. The next prime is 136847812613. The reversal of 136847812608 is 806218748631.

136847812608 is a `hidden beast` number, since 13 + 6 + 8 + 4 + 7 + 8 + 12 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136847812601) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1537615828 + ... + 1537615916.

It is an arithmetic number, because the mean of its divisors is an integer number (499458960).

Almost surely, 2^136847812608 is an apocalyptic number.

136847812608 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 136847812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239740300800).

136847812608 is an abundant number, since it is smaller than the sum of its proper divisors (342632788992).

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

136847812608 is a wasteful number, since it uses less digits than its factorization.

136847812608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 136847812608 in words is "one hundred thirty-six billion, eight hundred forty-seven million, eight hundred twelve thousand, six hundred eight".