135616128 has 64 divisors (see below), whose sum is σ = 362426400. Its totient is φ = 44930048.

The previous prime is 135616111. The next prime is 135616133. The reversal of 135616128 is 821616531.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67750 + ... + 69722.

Almost surely, 2^135616128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181213200).

135616128 is an abundant number, since it is smaller than the sum of its proper divisors (226810272).

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

135616128 is a wasteful number, since it uses less digits than its factorization.

135616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2157 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 135616128 is about 11645.4337832474. The cubic root of 135616128 is about 513.7720175739.

The spelling of 135616128 in words is "one hundred thirty-five million, six hundred sixteen thousand, one hundred twenty-eight".