135758520 has 96 divisors (see below), whose sum is σ = 444553200. Its totient is φ = 35928576.

The previous prime is 135758479. The next prime is 135758521. The reversal of 135758520 is 25857531.

135758520 is a `hidden beast` number, since 1 + 3 + 57 + 585 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135758521) by changing a digit.

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, 48684 + ... + 51396.

Almost surely, 2^135758520 is an apocalyptic number.

135758520 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 135758520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222276600).

135758520 is an abundant number, since it is smaller than the sum of its proper divisors (308794680).

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

135758520 is a wasteful number, since it uses less digits than its factorization.

135758520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 135758520 is about 11651.5458201906. The cubic root of 135758520 is about 513.9517686528.

The spelling of 135758520 in words is "one hundred thirty-five million, seven hundred fifty-eight thousand, five hundred twenty".