135557128 has 48 divisors (see below), whose sum is σ = 300566700. Its totient is φ = 57133440.

The previous prime is 135557119. The next prime is 135557129. The reversal of 135557128 is 821755531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 111133764 + 24423364 = 10542^2 + 4942^2 .

It is not an unprimeable number, because it can be changed into a prime (135557129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21078 + ... + 26746.

Almost surely, 2^135557128 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 135557128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150283350).

135557128 is an abundant number, since it is smaller than the sum of its proper divisors (165009572).

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

135557128 is a wasteful number, since it uses less digits than its factorization.

135557128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5739 counting only the distinct ones).

The product of its digits is 42000, while the sum is 37.

The square root of 135557128 is about 11642.9003259497. The cubic root of 135557128 is about 513.6975010043.

The spelling of 135557128 in words is "one hundred thirty-five million, five hundred fifty-seven thousand, one hundred twenty-eight".