136216192320 has 1792 divisors, whose sum is σ = 589897728000. Its totient is φ = 29262643200.

The previous prime is 136216192319. The next prime is 136216192327. The reversal of 136216192320 is 23291612631.

136216192320 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 1 + 619 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136216192327) 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 255 ways as a sum of consecutive naturals, for example, 1918537885 + ... + 1918537955.

It is an arithmetic number, because the mean of its divisors is an integer number (329184000).

Almost surely, 2^136216192320 is an apocalyptic number.

136216192320 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 136216192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864000).

136216192320 is an abundant number, since it is smaller than the sum of its proper divisors (453681535680).

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

136216192320 is a wasteful number, since it uses less digits than its factorization.

136216192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 136216192320 in words is "one hundred thirty-six billion, two hundred sixteen million, one hundred ninety-two thousand, three hundred twenty".