135122015219184 has 160 divisors (see below), whose sum is σ = 466586741696000. Its totient is φ = 36574380043776.

The previous prime is 135122015219179. The next prime is 135122015219207. The reversal of 135122015219184 is 481912510221531.

135122015219184 is a `hidden beast` number, since 1 + 3 + 5 + 12 + 20 + 1 + 521 + 91 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175816389 + ... + 1175931300.

It is an arithmetic number, because the mean of its divisors is an integer number (2916167135600).

Almost surely, 2^{135122015219184} is an apocalyptic number.

135122015219184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135122015219184 is an abundant number, since it is smaller than the sum of its proper divisors (331464726476816).

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

135122015219184 is a wasteful number, since it uses less digits than its factorization.

135122015219184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351747732 (or 2351747720 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 135122015219184 in words is "one hundred thirty-five trillion, one hundred twenty-two billion, fifteen million, two hundred nineteen thousand, one hundred eighty-four".