135165680 has 40 divisors (see below), whose sum is σ = 338436672. Its totient is φ = 49906944.

The previous prime is 135165671. The next prime is 135165683. The reversal of 135165680 is 86561531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135165680² = 36539522099724800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135165680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135165683) 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 7 ways as a sum of consecutive naturals, for example, 63944 + ... + 66023.

Almost surely, 2^135165680 is an apocalyptic number.

135165680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135165680 is an abundant number, since it is smaller than the sum of its proper divisors (203270992).

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

135165680 is a wasteful number, since it uses less digits than its factorization.

135165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129993 (or 129987 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 135165680 is about 11626.0775844650. The cubic root of 135165680 is about 513.2025565926.

The spelling of 135165680 in words is "one hundred thirty-five million, one hundred sixty-five thousand, six hundred eighty".