135486288 has 120 divisors (see below), whose sum is σ = 435859008. Its totient is φ = 38486016.

The previous prime is 135486269. The next prime is 135486293. The reversal of 135486288 is 882684531.

135486288 is a `hidden beast` number, since 13 + 5 + 4 + 8 + 628 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258795 + ... + 259317.

Almost surely, 2^135486288 is an apocalyptic number.

135486288 is a gapful number since it is divisible by the number (18) 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 135486288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217929504).

135486288 is an abundant number, since it is smaller than the sum of its proper divisors (300372720).

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

135486288 is a wasteful number, since it uses less digits than its factorization.

135486288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 135486288 is about 11639.8577310893. The cubic root of 135486288 is about 513.6080020298.

The spelling of 135486288 in words is "one hundred thirty-five million, four hundred eighty-six thousand, two hundred eighty-eight".