136647365863680 has 3456 divisors, whose sum is σ = 598015401984000. Its totient is φ = 28721089216512.

The previous prime is 136647365863663. The next prime is 136647365863693. The reversal of 136647365863680 is 86368563746631.

136647365863680 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 4 + 7 + 3 + 6 + 586 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136647365863599 and 136647365863608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 285276337681 + ... + 285276338159.

It is an arithmetic number, because the mean of its divisors is an integer number (173036864000).

Almost surely, 2^{136647365863680} is an apocalyptic number.

136647365863680 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 136647365863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299007700992000).

136647365863680 is an abundant number, since it is smaller than the sum of its proper divisors (461368036120320).

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

136647365863680 is a wasteful number, since it uses less digits than its factorization.

136647365863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 136647365863680 in words is "one hundred thirty-six trillion, six hundred forty-seven billion, three hundred sixty-five million, eight hundred sixty-three thousand, six hundred eighty".