136101163116006 has 384 divisors, whose sum is σ = 330339409920000. Its totient is φ = 40154721235200.

The previous prime is 136101163115873. The next prime is 136101163116031. The reversal of 136101163116006 is 600611361101631.

136101163116006 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 1 + 1 + 631 + 16 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307226101621 + ... + 307226102063.

It is an arithmetic number, because the mean of its divisors is an integer number (860258880000).

Almost surely, 2^{136101163116006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136101163116006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165169704960000).

136101163116006 is an abundant number, since it is smaller than the sum of its proper divisors (194238246803994).

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

136101163116006 is a wasteful number, since it uses less digits than its factorization.

136101163116006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 136101163116006 in words is "one hundred thirty-six trillion, one hundred one billion, one hundred sixty-three million, one hundred sixteen thousand, six".