135216000 has 256 divisors, whose sum is σ = 499636800. Its totient is φ = 35942400.

The previous prime is 135215987. The next prime is 135216013. The reversal of 135216000 is 612531.

135216000 is a `hidden beast` number, since 13 + 52 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135215987) and next prime (135216013).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 431844 + ... + 432156.

Almost surely, 2^135216000 is an apocalyptic number.

135216000 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 135216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249818400).

135216000 is an abundant number, since it is smaller than the sum of its proper divisors (364420800).

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

135216000 is an equidigital number, since it uses as much as digits as its factorization.

135216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 135216000 is about 11628.2414835606. The cubic root of 135216000 is about 513.2662343661.

Adding to 135216000 its reverse (612531), we get a palindrome (135828531).

It can be divided in two parts, 135 and 216000, that multiplied together give a square (29160000 = 5400²).

The spelling of 135216000 in words is "one hundred thirty-five million, two hundred sixteen thousand".