136072388255616 has 192 divisors, whose sum is σ = 400251772514880. Its totient is φ = 44352648105984.

The previous prime is 136072388255599. The next prime is 136072388255651. The reversal of 136072388255616 is 616552883270631.

136072388255616 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 2 + 3 + 8 + 8 + 2 + 5 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59353890 + ... + 61603806.

It is an arithmetic number, because the mean of its divisors is an integer number (2084644648515).

Almost surely, 2^{136072388255616} is an apocalyptic number.

136072388255616 is a gapful number since it is divisible by the number (16) 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 136072388255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200125886257440).

136072388255616 is an abundant number, since it is smaller than the sum of its proper divisors (264179384259264).

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

136072388255616 is a wasteful number, since it uses less digits than its factorization.

136072388255616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251101 (or 2251086 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 136072388255616 in words is "one hundred thirty-six trillion, seventy-two billion, three hundred eighty-eight million, two hundred fifty-five thousand, six hundred sixteen".