136368727260480 has 1260 divisors, whose sum is σ = 577367688308796. Its totient is φ = 30515960217600.

The previous prime is 136368727260397. The next prime is 136368727260499. The reversal of 136368727260480 is 84062727863631.

136368727260480 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 6 + 87 + 2 + 72 + 6 + 0 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 56825303521536 + 79543423738944 = 7538256^2 + 8918712^2 .

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 529909440 + ... + 530166720.

Almost surely, 2^{136368727260480} is an apocalyptic number.

136368727260480 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 136368727260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288683844154398).

136368727260480 is an abundant number, since it is smaller than the sum of its proper divisors (440998961048316).

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

136368727260480 is a wasteful number, since it uses less digits than its factorization.

136368727260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257358 (or 257315 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 136368727260480 in words is "one hundred thirty-six trillion, three hundred sixty-eight billion, seven hundred twenty-seven million, two hundred sixty thousand, four hundred eighty".