135127200 has 288 divisors, whose sum is σ = 488218752. Its totient is φ = 32256000.

The previous prime is 135127177. The next prime is 135127207. The reversal of 135127200 is 2721531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135127207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1903165 + ... + 1903235.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2^135127200 is an apocalyptic number.

135127200 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 135127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376).

135127200 is an abundant number, since it is smaller than the sum of its proper divisors (353091552).

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

135127200 is a wasteful number, since it uses less digits than its factorization.

135127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 135127200 is about 11624.4225663041. The cubic root of 135127200 is about 513.1538511602.

Adding to 135127200 its reverse (2721531), we get a palindrome (137848731).

The spelling of 135127200 in words is "one hundred thirty-five million, one hundred twenty-seven thousand, two hundred".