135334400 has 120 divisors (see below), whose sum is σ = 341866140. Its totient is φ = 53084160.

The previous prime is 135334391. The next prime is 135334403. The reversal of 135334400 is 4433531.

It can be written as a sum of positive squares in 6 ways, for example, as 58736896 + 76597504 = 7664^2 + 8752^2 .

It is not an unprimeable number, because it can be changed into a prime (135334403) 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 11 ways as a sum of consecutive naturals, for example, 1241546 + ... + 1241654.

Almost surely, 2^135334400 is an apocalyptic number.

135334400 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 135334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170933070).

135334400 is an abundant number, since it is smaller than the sum of its proper divisors (206531740).

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

135334400 is an equidigital number, since it uses as much as digits as its factorization.

135334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 135334400 is about 11633.3314231135. The cubic root of 135334400 is about 513.4160021280.

Adding to 135334400 its reverse (4433531), we get a palindrome (139767931).

It can be divided in two parts, 1353 and 34400, that added together give a palindrome (35753).

The spelling of 135334400 in words is "one hundred thirty-five million, three hundred thirty-four thousand, four hundred".