135188928 has 84 divisors (see below), whose sum is σ = 442864240. Its totient is φ = 38624256.

The previous prime is 135188927. The next prime is 135188959. The reversal of 135188928 is 829881531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135188927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12733 + ... + 20796.

Almost surely, 2^135188928 is an apocalyptic number.

135188928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135188928 is an abundant number, since it is smaller than the sum of its proper divisors (307675312).

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

135188928 is a wasteful number, since it uses less digits than its factorization.

135188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33554 (or 33541 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 135188928 is about 11627.0773627769. The cubic root of 135188928 is about 513.2319778902.

The spelling of 135188928 in words is "one hundred thirty-five million, one hundred eighty-eight thousand, nine hundred twenty-eight".