135108000 has 288 divisors, whose sum is σ = 500834880. Its totient is φ = 35769600.

The previous prime is 135107969. The next prime is 135108011. The reversal of 135108000 is 801531.

It is a happy number.

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

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

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, 971931 + ... + 972069.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2^135108000 is an apocalyptic number.

135108000 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 135108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

135108000 is an abundant number, since it is smaller than the sum of its proper divisors (365726880).

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

135108000 is an equidigital number, since it uses as much as digits as its factorization.

135108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135108000 is about 11623.5966894933. The cubic root of 135108000 is about 513.1295456155.

Adding to 135108000 its reverse (801531), we get a palindrome (135909531).

The spelling of 135108000 in words is "one hundred thirty-five million, one hundred eight thousand".