135024400 has 135 divisors (see below), whose sum is σ = 381960021. Its totient is φ = 45736320.

The previous prime is 135024389. The next prime is 135024413. The reversal of 135024400 is 4420531.

The square root of 135024400 is 11620.

It is a perfect power (a square), and thus also a powerful number.

135024400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48608784 + 86415616 = 6972^2 + 9296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1626759 + ... + 1626841.

Almost surely, 2^135024400 is an apocalyptic number.

135024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135024400 is the 11620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135024400

135024400 is an abundant number, since it is smaller than the sum of its proper divisors (246935621).

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

135024400 is an equidigital number, since it uses as much as digits as its factorization.

135024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The cubic root of 135024400 is about 513.0236883731.

Adding to 135024400 its reverse (4420531), we get a palindrome (139444931).

It can be divided in two parts, 135024 and 400, that added together give a square (135424 = 368²).

The spelling of 135024400 in words is "one hundred thirty-five million, twenty-four thousand, four hundred".