135605268 has 36 divisors (see below), whose sum is σ = 346117408. Its totient is φ = 44761680.

The previous prime is 135605251. The next prime is 135605297. The reversal of 135605268 is 862506531.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 14578 + ... + 21993.

Almost surely, 2^135605268 is an apocalyptic number.

135605268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135605268 is an abundant number, since it is smaller than the sum of its proper divisors (210512140).

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

135605268 is a wasteful number, since it uses less digits than its factorization.

135605268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36684 (or 36679 counting only the distinct ones).

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

The square root of 135605268 is about 11644.9674967344. The cubic root of 135605268 is about 513.7583030963.

The spelling of 135605268 in words is "one hundred thirty-five million, six hundred five thousand, two hundred sixty-eight".