135768000 has 112 divisors (see below), whose sum is σ = 448385184. Its totient is φ = 36198400.

The previous prime is 135767993. The next prime is 135768029. The reversal of 135768000 is 867531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21172 + ... + 26828.

Almost surely, 2^135768000 is an apocalyptic number.

135768000 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 135768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224192592).

135768000 is an abundant number, since it is smaller than the sum of its proper divisors (312617184).

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

135768000 is an equidigital number, since it uses as much as digits as its factorization.

135768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 135768000 is about 11651.9526260623. The cubic root of 135768000 is about 513.9637314364.

The spelling of 135768000 in words is "one hundred thirty-five million, seven hundred sixty-eight thousand".