136008613236860 has 384 divisors, whose sum is σ = 371027826892800. Its totient is φ = 40701723955200.

The previous prime is 136008613236841. The next prime is 136008613236869. The reversal of 136008613236860 is 68632316800631.

It is a super-2 number, since 2×136008613236860² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136008613236869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2003008910 + ... + 2003076810.

It is an arithmetic number, because the mean of its divisors is an integer number (966218299200).

Almost surely, 2^{136008613236860} is an apocalyptic number.

136008613236860 is a gapful number since it is divisible by the number (10) 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 136008613236860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185513913446400).

136008613236860 is an abundant number, since it is smaller than the sum of its proper divisors (235019213655940).

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

136008613236860 is a wasteful number, since it uses less digits than its factorization.

136008613236860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68501 (or 68499 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 136008613236860 in words is "one hundred thirty-six trillion, eight billion, six hundred thirteen million, two hundred thirty-six thousand, eight hundred sixty".