135360000 has 300 divisors, whose sum is σ = 498552912. Its totient is φ = 35328000.

The previous prime is 135359989. The next prime is 135360019. The reversal of 135360000 is 63531.

135360000 is a `hidden beast` number, since 13 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879977 + ... + 2880023.

Almost surely, 2^135360000 is an apocalyptic number.

135360000 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 135360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249276456).

135360000 is an abundant number, since it is smaller than the sum of its proper divisors (363192912).

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

135360000 is an frugal number, since it uses more digits than its factorization.

135360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135360000 is about 11634.4316577992. The cubic root of 135360000 is about 513.4483728606.

The spelling of 135360000 in words is "one hundred thirty-five million, three hundred sixty thousand".