135144728928 has 144 divisors (see below), whose sum is σ = 419542695936. Its totient is φ = 40924926720.

The previous prime is 135144728921. The next prime is 135144729007. The reversal of 135144728928 is 829827441531.

135144728928 is a `hidden beast` number, since 1 + 3 + 514 + 47 + 2 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135144728921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4874401 + ... + 4902047.

It is an arithmetic number, because the mean of its divisors is an integer number (2913490944).

Almost surely, 2^135144728928 is an apocalyptic number.

135144728928 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 135144728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209771347968).

135144728928 is an abundant number, since it is smaller than the sum of its proper divisors (284397967008).

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

135144728928 is a wasteful number, since it uses less digits than its factorization.

135144728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29217 (or 29206 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 135144728928 in words is "one hundred thirty-five billion, one hundred forty-four million, seven hundred twenty-eight thousand, nine hundred twenty-eight".