135515520 has 192 divisors, whose sum is σ = 534961440. Its totient is φ = 30965760.

The previous prime is 135515503. The next prime is 135515531. The reversal of 135515520 is 25515531.

135515520 is a `hidden beast` number, since 135 + 5 + 1 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38640 + ... + 42000.

Almost surely, 2^135515520 is an apocalyptic number.

135515520 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 135515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267480720).

135515520 is an abundant number, since it is smaller than the sum of its proper divisors (399445920).

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

135515520 is a wasteful number, since it uses less digits than its factorization.

135515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 135515520 is about 11641.1133488168. The cubic root of 135515520 is about 513.6449374021.

The spelling of 135515520 in words is "one hundred thirty-five million, five hundred fifteen thousand, five hundred twenty".