135268560 has 120 divisors (see below), whose sum is σ = 519192960. Its totient is φ = 30917376.

The previous prime is 135268501. The next prime is 135268577. The reversal of 135268560 is 65862531.

135268560 is a `hidden beast` number, since 1 + 35 + 2 + 68 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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, 8380 + ... + 18459.

It is an arithmetic number, because the mean of its divisors is an integer number (4326608).

Almost surely, 2^135268560 is an apocalyptic number.

135268560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135268560 is an abundant number, since it is smaller than the sum of its proper divisors (383924400).

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

135268560 is a wasteful number, since it uses less digits than its factorization.

135268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26865 (or 26856 counting only the distinct ones).

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

The square root of 135268560 is about 11630.5012789647. The cubic root of 135268560 is about 513.3327298957.

The spelling of 135268560 in words is "one hundred thirty-five million, two hundred sixty-eight thousand, five hundred sixty".