135352800 has 216 divisors, whose sum is σ = 520982280. Its totient is φ = 32793600.

The previous prime is 135352799. The next prime is 135352801. The reversal of 135352800 is 8253531.

135352800 is a `hidden beast` number, since 135 + 3 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135352799) and next prime (135352801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135352801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78346 + ... + 80054.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^135352800 is an apocalyptic number.

135352800 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 135352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

135352800 is an abundant number, since it is smaller than the sum of its proper divisors (385629480).

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

135352800 is a wasteful number, since it uses less digits than its factorization.

135352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135352800 is about 11634.1222273105. The cubic root of 135352800 is about 513.4392690046.

The spelling of 135352800 in words is "one hundred thirty-five million, three hundred fifty-two thousand, eight hundred".