135232200 has 192 divisors, whose sum is σ = 473184000. Its totient is φ = 35493120.

The previous prime is 135232193. The next prime is 135232211. The reversal of 135232200 is 2232531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426442 + ... + 426758.

It is an arithmetic number, because the mean of its divisors is an integer number (2464500).

Almost surely, 2^135232200 is an apocalyptic number.

135232200 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 135232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236592000).

135232200 is an abundant number, since it is smaller than the sum of its proper divisors (337951800).

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

135232200 is a wasteful number, since it uses less digits than its factorization.

135232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135232200 is about 11628.9380426589. The cubic root of 135232200 is about 513.2867314004.

Adding to 135232200 its reverse (2232531), we get a palindrome (137464731).

The spelling of 135232200 in words is "one hundred thirty-five million, two hundred thirty-two thousand, two hundred".