135535680 has 392 divisors, whose sum is σ = 559685952. Its totient is φ = 30606336.

The previous prime is 135535661. The next prime is 135535691. The reversal of 135535680 is 86535531.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1632919 + ... + 1633001.

Almost surely, 2^135535680 is an apocalyptic number.

135535680 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 135535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279842976).

135535680 is an abundant number, since it is smaller than the sum of its proper divisors (424150272).

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

135535680 is an frugal number, since it uses more digits than its factorization.

135535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 135535680 is about 11641.9792131751. The cubic root of 135535680 is about 513.6704069781.

The spelling of 135535680 in words is "one hundred thirty-five million, five hundred thirty-five thousand, six hundred eighty".