135643200 has 336 divisors, whose sum is σ = 556345344. Its totient is φ = 28108800.

The previous prime is 135643181. The next prime is 135643217. The reversal of 135643200 is 2346531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369417 + ... + 369783.

Almost surely, 2^135643200 is an apocalyptic number.

135643200 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 135643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278172672).

135643200 is an abundant number, since it is smaller than the sum of its proper divisors (420702144).

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

135643200 is a wasteful number, since it uses less digits than its factorization.

135643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135643200 is about 11646.5960692384. The cubic root of 135643200 is about 513.8062020790.

Adding to 135643200 its reverse (2346531), we get a palindrome (137989731).

The spelling of 135643200 in words is "one hundred thirty-five million, six hundred forty-three thousand, two hundred".