135293200 has 120 divisors (see below), whose sum is σ = 374866880. Its totient is φ = 45964800.

The previous prime is 135293183. The next prime is 135293203. The reversal of 135293200 is 2392531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135293203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 590686 + ... + 590914.

Almost surely, 2^135293200 is an apocalyptic number.

135293200 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 135293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187433440).

135293200 is an abundant number, since it is smaller than the sum of its proper divisors (239573680).

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

135293200 is a wasteful number, since it uses less digits than its factorization.

135293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 135293200 is about 11631.5605143936. The cubic root of 135293200 is about 513.3638969078.

The spelling of 135293200 in words is "one hundred thirty-five million, two hundred ninety-three thousand, two hundred".