135676080725328 has 1200 divisors, whose sum is σ = 484774931811456. Its totient is φ = 36246242672640.

The previous prime is 135676080725321. The next prime is 135676080725329. The reversal of 135676080725328 is 823527080676531.

135676080725328 is a `hidden beast` number, since 1 + 3 + 567 + 60 + 8 + 0 + 7 + 2 + 5 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135676080725321) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 47489001276 + ... + 47489004132.

Almost surely, 2^{135676080725328} is an apocalyptic number.

135676080725328 is a gapful number since it is divisible by the number (18) 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 135676080725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242387465905728).

135676080725328 is an abundant number, since it is smaller than the sum of its proper divisors (349098851086128).

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

135676080725328 is a wasteful number, since it uses less digits than its factorization.

135676080725328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 135676080725328 in words is "one hundred thirty-five trillion, six hundred seventy-six billion, eighty million, seven hundred twenty-five thousand, three hundred twenty-eight".