135416520 has 96 divisors (see below), whose sum is σ = 442611000. Its totient is φ = 35905536.

The previous prime is 135416513. The next prime is 135416539. The reversal of 135416520 is 25614531.

135416520 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 652 + 0 = 666.

135416520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 111386916 + 24029604 = 10554^2 + 4902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68506 + ... + 70454.

Almost surely, 2^135416520 is an apocalyptic number.

135416520 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 135416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221305500).

135416520 is an abundant number, since it is smaller than the sum of its proper divisors (307194480).

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

135416520 is a wasteful number, since it uses less digits than its factorization.

135416520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

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

The square root of 135416520 is about 11636.8604013282. The cubic root of 135416520 is about 513.5198269185.

The spelling of 135416520 in words is "one hundred thirty-five million, four hundred sixteen thousand, five hundred twenty".