135043200 has 240 divisors, whose sum is σ = 499295610. Its totient is φ = 35942400.

The previous prime is 135043199. The next prime is 135043201. The reversal of 135043200 is 2340531.

It is an interprime number because it is at equal distance from previous prime (135043199) and next prime (135043201).

It can be written as a sum of positive squares in 3 ways, for example, as 86266944 + 48776256 = 9288^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135043201) 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 29 ways as a sum of consecutive naturals, for example, 258940 + ... + 259460.

Almost surely, 2^135043200 is an apocalyptic number.

135043200 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 135043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249647805).

135043200 is an abundant number, since it is smaller than the sum of its proper divisors (364252410).

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

135043200 is an equidigital number, since it uses as much as digits as its factorization.

135043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

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

The square root of 135043200 is about 11620.8089219297. The cubic root of 135043200 is about 513.0474973976.

Adding to 135043200 its reverse (2340531), we get a palindrome (137383731).

The spelling of 135043200 in words is "one hundred thirty-five million, forty-three thousand, two hundred".