135524520 has 96 divisors (see below), whose sum is σ = 445110120. Its totient is φ = 35758080.

The previous prime is 135524503. The next prime is 135524537. The reversal of 135524520 is 25425531.

It is a happy number.

135524520 is a `hidden beast` number, since 135 + 5 + 2 + 4 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (135524503) and next prime (135524537).

It can be written as a sum of positive squares in 4 ways, for example, as 112656996 + 22867524 = 10614^2 + 4782^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32980 + ... + 36860.

Almost surely, 2^135524520 is an apocalyptic number.

135524520 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 135524520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222555060).

135524520 is an abundant number, since it is smaller than the sum of its proper divisors (309585600).

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

135524520 is a wasteful number, since it uses less digits than its factorization.

135524520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135524520 is about 11641.4999033630. The cubic root of 135524520 is about 513.6563080606.

The spelling of 135524520 in words is "one hundred thirty-five million, five hundred twenty-four thousand, five hundred twenty".