135032128 has 168 divisors, whose sum is σ = 350251776. Its totient is φ = 50519040.

The previous prime is 135032123. The next prime is 135032137. The reversal of 135032128 is 821230531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135032123) 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, 2547750 + ... + 2547802.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^135032128 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 135032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

135032128 is an abundant number, since it is smaller than the sum of its proper divisors (215219648).

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

135032128 is a wasteful number, since it uses less digits than its factorization.

135032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 135032128 is about 11620.3325253626. The cubic root of 135032128 is about 513.0334756694.

Adding to 135032128 its reverse (821230531), we get a palindrome (956262659).

The spelling of 135032128 in words is "one hundred thirty-five million, thirty-two thousand, one hundred twenty-eight".