136918211328 has 360 divisors, whose sum is σ = 428266238400. Its totient is φ = 43448057856.

The previous prime is 136918211219. The next prime is 136918211347. The reversal of 136918211328 is 823112819631.

136918211328 is a `hidden beast` number, since 136 + 9 + 182 + 11 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43896553 + ... + 43899671.

It is an arithmetic number, because the mean of its divisors is an integer number (1189628440).

Almost surely, 2^136918211328 is an apocalyptic number.

136918211328 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 136918211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214133119200).

136918211328 is an abundant number, since it is smaller than the sum of its proper divisors (291348027072).

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

136918211328 is an equidigital number, since it uses as much as digits as its factorization.

136918211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3226 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 136918211328 in words is "one hundred thirty-six billion, nine hundred eighteen million, two hundred eleven thousand, three hundred twenty-eight".