135704520 has 240 divisors, whose sum is σ = 517792860. Its totient is φ = 30820608.

The previous prime is 135704483. The next prime is 135704521. The reversal of 135704520 is 25407531.

It is a happy number.

135704520 is a `hidden beast` number, since 135 + 7 + 0 + 4 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131469156 + 4235364 = 11466^2 + 2058^2 .

It is not an unprimeable number, because it can be changed into a prime (135704521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 864282 + ... + 864438.

Almost surely, 2^135704520 is an apocalyptic number.

135704520 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 135704520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258896430).

135704520 is an abundant number, since it is smaller than the sum of its proper divisors (382088340).

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

135704520 is a wasteful number, since it uses less digits than its factorization.

135704520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135704520 is about 11649.2283006215. The cubic root of 135704520 is about 513.8836155918.

The spelling of 135704520 in words is "one hundred thirty-five million, seven hundred four thousand, five hundred twenty".