135795200 has 90 divisors (see below), whose sum is σ = 339741369. Its totient is φ = 53790720.

The previous prime is 135795113. The next prime is 135795203. The reversal of 135795200 is 2597531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 133079296 + 2715904 = 11536^2 + 1648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8240.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135795203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1318349 + ... + 1318451.

Almost surely, 2^135795200 is an apocalyptic number.

135795200 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 135795200

135795200 is an abundant number, since it is smaller than the sum of its proper divisors (203946169).

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

135795200 is an frugal number, since it uses more digits than its factorization.

135795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 135795200 is about 11653.1197539543. The cubic root of 135795200 is about 513.9980519439.

Multiplying 135795200 by its sum of digits (32), we get a square (4345446400 = 65920²).

135795200 divided by its sum of digits (32) gives a square (4243600 = 2060²).

The spelling of 135795200 in words is "one hundred thirty-five million, seven hundred ninety-five thousand, two hundred".