135268128 has 144 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 42923520.

The previous prime is 135268123. The next prime is 135268157. The reversal of 135268128 is 821862531.

It is a happy number.

135268128 is a `hidden beast` number, since 1 + 3 + 526 + 8 + 128 = 666.

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

It is a super-3 number, since 3×135268128³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135268092 and 135268101.

It is not an unprimeable number, because it can be changed into a prime (135268123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973083 + ... + 973221.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 2^135268128 is an apocalyptic number.

135268128 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 135268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

135268128 is an abundant number, since it is smaller than the sum of its proper divisors (268335072).

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

135268128 is a wasteful number, since it uses less digits than its factorization.

135268128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 135268128 is about 11630.4827070935. The cubic root of 135268128 is about 513.3321834273.

The spelling of 135268128 in words is "one hundred thirty-five million, two hundred sixty-eight thousand, one hundred twenty-eight".