136580841196800 has 5184 divisors, whose sum is σ = 647037886924800. Its totient is φ = 24472859443200.

The previous prime is 136580841196747. The next prime is 136580841196823. The reversal of 136580841196800 is 8691148085631.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 575 ways as a sum of consecutive naturals, for example, 763021459111 + ... + 763021459289.

It is an arithmetic number, because the mean of its divisors is an integer number (124814407200).

Almost surely, 2^{136580841196800} is an apocalyptic number.

136580841196800 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 136580841196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323518943462400).

136580841196800 is an abundant number, since it is smaller than the sum of its proper divisors (510457045728000).

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

136580841196800 is a wasteful number, since it uses less digits than its factorization.

136580841196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 136580841196800 in words is "one hundred thirty-six trillion, five hundred eighty billion, eight hundred forty-one million, one hundred ninety-six thousand, eight hundred".