135606960 has 200 divisors, whose sum is σ = 499093056. Its totient is φ = 34007040.

The previous prime is 135606959. The next prime is 135606973. The reversal of 135606960 is 69606531.

135606960 is a `hidden beast` number, since 1 + 3 + 560 + 6 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109545 + ... + 110775.

Almost surely, 2^135606960 is an apocalyptic number.

135606960 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 135606960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528).

135606960 is an abundant number, since it is smaller than the sum of its proper divisors (363486096).

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

135606960 is a wasteful number, since it uses less digits than its factorization.

135606960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 135606960 is about 11645.0401459162. The cubic root of 135606960 is about 513.7604398752.

The spelling of 135606960 in words is "one hundred thirty-five million, six hundred six thousand, nine hundred sixty".