135668520 has 160 divisors (see below), whose sum is σ = 491226120. Its totient is φ = 33384960.

The previous prime is 135668509. The next prime is 135668521. The reversal of 135668520 is 25866531.

135668520 is a `hidden beast` number, since 13 + 566 + 85 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102697956 + 32970564 = 10134^2 + 5742^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135668521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40510 + ... + 43730.

Almost surely, 2^135668520 is an apocalyptic number.

135668520 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 135668520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245613060).

135668520 is an abundant number, since it is smaller than the sum of its proper divisors (355557600).

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

135668520 is a wasteful number, since it uses less digits than its factorization.

135668520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135668520 is about 11647.6830314016. The cubic root of 135668520 is about 513.8381701729.

The spelling of 135668520 in words is "one hundred thirty-five million, six hundred sixty-eight thousand, five hundred twenty".