135528120 has 384 divisors, whose sum is σ = 568814400. Its totient is φ = 28449792.

The previous prime is 135528103. The next prime is 135528149. The reversal of 135528120 is 21825531.

It is a happy number.

135528120 is a `hidden beast` number, since 13 + 5 + 528 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687862 + ... + 688058.

Almost surely, 2^135528120 is an apocalyptic number.

135528120 is a gapful number since it is divisible by the number (10) 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 135528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284407200).

135528120 is an abundant number, since it is smaller than the sum of its proper divisors (433286280).

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

135528120 is a wasteful number, since it uses less digits than its factorization.

135528120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135528120 is about 11641.6545215876. The cubic root of 135528120 is about 513.6608561831.

The spelling of 135528120 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, one hundred twenty".