135803520 has 256 divisors, whose sum is σ = 499392000. Its totient is φ = 34836480.

The previous prime is 135803509. The next prime is 135803527. The reversal of 135803520 is 25308531.

135803520 is a `hidden beast` number, since 135 + 8 + 0 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135803527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500985 + ... + 501255.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^135803520 is an apocalyptic number.

135803520 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 135803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

135803520 is an abundant number, since it is smaller than the sum of its proper divisors (363588480).

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

135803520 is a wasteful number, since it uses less digits than its factorization.

135803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135803520 is about 11653.4767344342. The cubic root of 135803520 is about 514.0085490662.

The spelling of 135803520 in words is "one hundred thirty-five million, eight hundred three thousand, five hundred twenty".