136829520177728 has 224 divisors, whose sum is σ = 319979110225920. Its totient is φ = 56842161868800.

The previous prime is 136829520177677. The next prime is 136829520177751. The reversal of 136829520177728 is 827771025928631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9553125575 + ... + 9553139897.

Almost surely, 2^{136829520177728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136829520177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989555112960).

136829520177728 is an abundant number, since it is smaller than the sum of its proper divisors (183149590048192).

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

136829520177728 is a wasteful number, since it uses less digits than its factorization.

136829520177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425 (or 19415 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 68.

The spelling of 136829520177728 in words is "one hundred thirty-six trillion, eight hundred twenty-nine billion, five hundred twenty million, one hundred seventy-seven thousand, seven hundred twenty-eight".