135288000 has 168 divisors, whose sum is σ = 484205280. Its totient is φ = 36057600.

The previous prime is 135287993. The next prime is 135288011. The reversal of 135288000 is 882531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71061 + ... + 72939.

Almost surely, 2^135288000 is an apocalyptic number.

135288000 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 135288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242102640).

135288000 is an abundant number, since it is smaller than the sum of its proper divisors (348917280).

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

135288000 is a wasteful number, since it uses less digits than its factorization.

135288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 135288000 is about 11631.3369824797. The cubic root of 135288000 is about 513.3573197690.

It can be divided in two parts, 13528 and 8000, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 135288000 in words is "one hundred thirty-five million, two hundred eighty-eight thousand".