135580677351678 has 48 divisors (see below), whose sum is σ = 316544462314080. Its totient is φ = 41692136087232.

The previous prime is 135580677351673. The next prime is 135580677351719. The reversal of 135580677351678 is 876153776085531.

135580677351678 is a `hidden beast` number, since 1 + 3 + 5 + 580 + 6 + 7 + 7 + 35 + 1 + 6 + 7 + 8 = 666.

It is a super-2 number, since 2×135580677351678² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135580677351673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173187826 + ... + 173968917.

It is an arithmetic number, because the mean of its divisors is an integer number (6594676298210).

Almost surely, 2^{135580677351678} is an apocalyptic number.

135580677351678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135580677351678 is an abundant number, since it is smaller than the sum of its proper divisors (180963784962402).

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

135580677351678 is a wasteful number, since it uses less digits than its factorization.

135580677351678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347158433 (or 347158430 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 72.

The spelling of 135580677351678 in words is "one hundred thirty-five trillion, five hundred eighty billion, six hundred seventy-seven million, three hundred fifty-one thousand, six hundred seventy-eight".