135063484128 has 96 divisors (see below), whose sum is σ = 394975526400. Its totient is φ = 44902263168.

The previous prime is 135063484123. The next prime is 135063484147. The reversal of 135063484128 is 821484360531.

135063484128 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 634 + 8 + 4 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135063484121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121225 + ... + 533687.

It is an arithmetic number, because the mean of its divisors is an integer number (4114328400).

Almost surely, 2^135063484128 is an apocalyptic number.

135063484128 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 135063484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197487763200).

135063484128 is an abundant number, since it is smaller than the sum of its proper divisors (259912042272).

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

135063484128 is a wasteful number, since it uses less digits than its factorization.

135063484128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412861 (or 412847 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 135063484128 in words is "one hundred thirty-five billion, sixty-three million, four hundred eighty-four thousand, one hundred twenty-eight".