135727200 has 216 divisors, whose sum is σ = 547183728. Its totient is φ = 31011840.

The previous prime is 135727187. The next prime is 135727219. The reversal of 135727200 is 2727531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49054 + ... + 51746.

It is an arithmetic number, because the mean of its divisors is an integer number (2533258).

Almost surely, 2^135727200 is an apocalyptic number.

135727200 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 135727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273591864).

135727200 is an abundant number, since it is smaller than the sum of its proper divisors (411456528).

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

135727200 is a wasteful number, since it uses less digits than its factorization.

135727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 135727200 is about 11650.2017149919. The cubic root of 135727200 is about 513.9122420792.

The spelling of 135727200 in words is "one hundred thirty-five million, seven hundred twenty-seven thousand, two hundred".