136681305600 has 720 divisors, whose sum is σ = 556261749648. Its totient is φ = 29396828160.

The previous prime is 136681305589. The next prime is 136681305707. The reversal of 136681305600 is 6503186631.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 31985064 + ... + 31989336.

Almost surely, 2^136681305600 is an apocalyptic number.

136681305600 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 136681305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278130874824).

136681305600 is an abundant number, since it is smaller than the sum of its proper divisors (419580444048).

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

136681305600 is a wasteful number, since it uses less digits than its factorization.

136681305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 136681305600 in words is "one hundred thirty-six billion, six hundred eighty-one million, three hundred five thousand, six hundred".