135532200 has 96 divisors (see below), whose sum is σ = 424080000. Its totient is φ = 35804160.

The previous prime is 135532181. The next prime is 135532213. The reversal of 135532200 is 2235531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66801 + ... + 68799.

It is an arithmetic number, because the mean of its divisors is an integer number (4417500).

Almost surely, 2^135532200 is an apocalyptic number.

135532200 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 135532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040000).

135532200 is an abundant number, since it is smaller than the sum of its proper divisors (288547800).

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

135532200 is a wasteful number, since it uses less digits than its factorization.

135532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 135532200 is about 11641.8297530929. The cubic root of 135532200 is about 513.6660106245. Note that the first 3 decimals are identical.

Adding to 135532200 its reverse (2235531), we get a palindrome (137767731).

It can be divided in two parts, 13553 and 2200, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 135532200 in words is "one hundred thirty-five million, five hundred thirty-two thousand, two hundred".