136325846016 has 616 divisors, whose sum is σ = 434730134784. Its totient is φ = 42639851520.

The previous prime is 136325846011. The next prime is 136325846017. The reversal of 136325846016 is 610648523631.

136325846016 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 584 + 60 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136325846011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 995079100 + ... + 995079236.

Almost surely, 2^136325846016 is an apocalyptic number.

136325846016 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 136325846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217365067392).

136325846016 is an abundant number, since it is smaller than the sum of its proper divisors (298404288768).

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

136325846016 is an equidigital number, since it uses as much as digits as its factorization.

136325846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 136325846016 in words is "one hundred thirty-six billion, three hundred twenty-five million, eight hundred forty-six thousand, sixteen".