135565680 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 33679360.

The previous prime is 135565673. The next prime is 135565681. The reversal of 135565680 is 86565531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135565681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226021 + ... + 226619.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^135565680 is an apocalyptic number.

135565680 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 135565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

135565680 is an abundant number, since it is smaller than the sum of its proper divisors (314405520).

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

135565680 is a wasteful number, since it uses less digits than its factorization.

135565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 135565680 is about 11643.2675825990. The cubic root of 135565680 is about 513.7083034576.

The spelling of 135565680 in words is "one hundred thirty-five million, five hundred sixty-five thousand, six hundred eighty".