135331200 has 288 divisors, whose sum is σ = 499848960. Its totient is φ = 34836480.

The previous prime is 135331171. The next prime is 135331211. The reversal of 135331200 is 2133531.

135331200 is a `hidden beast` number, since 1 + 353 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1065537 + ... + 1065663.

Almost surely, 2^135331200 is an apocalyptic number.

135331200 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 135331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249924480).

135331200 is an abundant number, since it is smaller than the sum of its proper divisors (364517760).

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

135331200 is a wasteful number, since it uses less digits than its factorization.

135331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135331200 is about 11633.1938864613. The cubic root of 135331200 is about 513.4119554994.

Adding to 135331200 its reverse (2133531), we get a palindrome (137464731).

It can be divided in two parts, 135331 and 200, that added together give a palindrome (135531).

The spelling of 135331200 in words is "one hundred thirty-five million, three hundred thirty-one thousand, two hundred".