135577688180 has 48 divisors (see below), whose sum is σ = 310623586560. Its totient is φ = 49296624000.

The previous prime is 135577688177. The next prime is 135577688201. The reversal of 135577688180 is 81886775531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3516005 + ... + 3554355.

It is an arithmetic number, because the mean of its divisors is an integer number (6471324720).

Almost surely, 2^135577688180 is an apocalyptic number.

135577688180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135577688180 is an abundant number, since it is smaller than the sum of its proper divisors (175045898380).

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

135577688180 is a wasteful number, since it uses less digits than its factorization.

135577688180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54440 (or 54438 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 59.

The spelling of 135577688180 in words is "one hundred thirty-five billion, five hundred seventy-seven million, six hundred eighty-eight thousand, one hundred eighty".