135326520 has 192 divisors, whose sum is σ = 509483520. Its totient is φ = 30511872.

The previous prime is 135326519. The next prime is 135326551. The reversal of 135326520 is 25623531.

135326520 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 2 + 652 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 208837 + ... + 209483.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^135326520 is an apocalyptic number.

135326520 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 135326520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

135326520 is an abundant number, since it is smaller than the sum of its proper divisors (374157000).

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

135326520 is a wasteful number, since it uses less digits than its factorization.

135326520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135326520 is about 11632.9927361793. The cubic root of 135326520 is about 513.4060371903.

The spelling of 135326520 in words is "one hundred thirty-five million, three hundred twenty-six thousand, five hundred twenty".