135505524 has 96 divisors (see below), whose sum is σ = 401780736. Its totient is φ = 34519680.

The previous prime is 135505481. The next prime is 135505529. The reversal of 135505524 is 425505531.

It is a happy number.

135505524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135505491 and 135505500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135505529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47589 + ... + 50355.

It is an arithmetic number, because the mean of its divisors is an integer number (4185216).

Almost surely, 2^135505524 is an apocalyptic number.

135505524 is a gapful number since it is divisible by the number (14) 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 135505524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200890368).

135505524 is an abundant number, since it is smaller than the sum of its proper divisors (266275212).

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

135505524 is a wasteful number, since it uses less digits than its factorization.

135505524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 135505524 is about 11640.6840005216. The cubic root of 135505524 is about 513.6323078006.

The spelling of 135505524 in words is "one hundred thirty-five million, five hundred five thousand, five hundred twenty-four".