135537056928 has 288 divisors, whose sum is σ = 499348886400. Its totient is φ = 33864542208.

The previous prime is 135537056917. The next prime is 135537056953. The reversal of 135537056928 is 829650735531.

135537056928 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 70 + 569 + 2 + 8 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361858 + ... + 634046.

It is an arithmetic number, because the mean of its divisors is an integer number (1733850300).

Almost surely, 2^135537056928 is an apocalyptic number.

135537056928 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 135537056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249674443200).

135537056928 is an abundant number, since it is smaller than the sum of its proper divisors (363811829472).

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

135537056928 is a wasteful number, since it uses less digits than its factorization.

135537056928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272244 (or 272233 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 135537056928 in words is "one hundred thirty-five billion, five hundred thirty-seven million, fifty-six thousand, nine hundred twenty-eight".