135521955664128 has 288 divisors, whose sum is σ = 444605300697600. Its totient is φ = 40371202713600.

The previous prime is 135521955664087. The next prime is 135521955664223. The reversal of 135521955664128 is 821466559125531.

135521955664128 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 1 + 9 + 5 + 566 + 41 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10619478 + ... + 19591253.

It is an arithmetic number, because the mean of its divisors is an integer number (1543768405200).

Almost surely, 2^{135521955664128} is an apocalyptic number.

135521955664128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135521955664128 is an abundant number, since it is smaller than the sum of its proper divisors (309083345033472).

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

135521955664128 is a wasteful number, since it uses less digits than its factorization.

135521955664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30210826 (or 30210806 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 135521955664128 in words is "one hundred thirty-five trillion, five hundred twenty-one billion, nine hundred fifty-five million, six hundred sixty-four thousand, one hundred twenty-eight".