135606240 has 288 divisors, whose sum is σ = 577414656. Its totient is φ = 28154880.

The previous prime is 135606227. The next prime is 135606257. The reversal of 135606240 is 42606531.

135606240 is a `hidden beast` number, since 1 + 3 + 560 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110269 + ... + 111491.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 2^135606240 is an apocalyptic number.

135606240 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 135606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

135606240 is an abundant number, since it is smaller than the sum of its proper divisors (441808416).

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

135606240 is a wasteful number, since it uses less digits than its factorization.

135606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135606240 is about 11645.0092314261. The cubic root of 135606240 is about 513.7595306098.

The spelling of 135606240 in words is "one hundred thirty-five million, six hundred six thousand, two hundred forty".