135575520 has 144 divisors (see below), whose sum is σ = 442813392. Its totient is φ = 34846720.

The previous prime is 135575513. The next prime is 135575521. The reversal of 135575520 is 25575531.

135575520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135575521) 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, 1633399 + ... + 1633481.

It is an arithmetic number, because the mean of its divisors is an integer number (3075093).

Almost surely, 2^135575520 is an apocalyptic number.

135575520 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 135575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221406696).

135575520 is an abundant number, since it is smaller than the sum of its proper divisors (307237872).

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

135575520 is an equidigital number, since it uses as much as digits as its factorization.

135575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 33.

The square root of 135575520 is about 11643.6901367221. The cubic root of 135575520 is about 513.7207322852.

The spelling of 135575520 in words is "one hundred thirty-five million, five hundred seventy-five thousand, five hundred twenty".