135027288 has 96 divisors (see below), whose sum is σ = 402526800. Its totient is φ = 40888320.

The previous prime is 135027257. The next prime is 135027293. The reversal of 135027288 is 882720531.

135027288 is a `hidden beast` number, since 1 + 3 + 502 + 72 + 88 = 666.

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, 95128 + ... + 96536.

Almost surely, 2^135027288 is an apocalyptic number.

135027288 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 135027288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201263400).

135027288 is an abundant number, since it is smaller than the sum of its proper divisors (267499512).

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

135027288 is a wasteful number, since it uses less digits than its factorization.

135027288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135027288 is about 11620.1242678381. The cubic root of 135027288 is about 513.0273459882.

The spelling of 135027288 in words is "one hundred thirty-five million, twenty-seven thousand, two hundred eighty-eight".