136680391680 has 1408 divisors, whose sum is σ = 567765614592. Its totient is φ = 27348959232.

The previous prime is 136680391619. The next prime is 136680391693. The reversal of 136680391680 is 86193086631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2908093417 + ... + 2908093463.

It is an arithmetic number, because the mean of its divisors is an integer number (403242624).

Almost surely, 2^136680391680 is an apocalyptic number.

136680391680 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 136680391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283882807296).

136680391680 is an abundant number, since it is smaller than the sum of its proper divisors (431085222912).

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

136680391680 is a wasteful number, since it uses less digits than its factorization.

136680391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 136680391680 in words is "one hundred thirty-six billion, six hundred eighty million, three hundred ninety-one thousand, six hundred eighty".