135528800 has 72 divisors (see below), whose sum is σ = 360961272. Its totient is φ = 49280000.

The previous prime is 135528797. The next prime is 135528851. The reversal of 135528800 is 8825531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (5013351).

Almost surely, 2^135528800 is an apocalyptic number.

135528800 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 135528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180480636).

135528800 is an abundant number, since it is smaller than the sum of its proper divisors (225432472).

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

135528800 is a wasteful number, since it uses less digits than its factorization.

135528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 135528800 is about 11641.6837270216. The cubic root of 135528800 is about 513.6617152638.

The spelling of 135528800 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, eight hundred".