135303424 has 27 divisors (see below), whose sum is σ = 270450327. Its totient is φ = 67558656.

The previous prime is 135303409. The next prime is 135303431. The reversal of 135303424 is 424303531.

The square root of 135303424 is 11632.

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

It is a super-2 number, since 2×135303424² = 36614033092247552, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 185749 + ... + 186475.

Almost surely, 2^135303424 is an apocalyptic number.

135303424 is the 11632-nd square number.

It is an amenable number.

135303424 is a deficient number, since it is larger than the sum of its proper divisors (135146903).

135303424 is an frugal number, since it uses more digits than its factorization.

135303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The cubic root of 135303424 is about 513.3768280831.

Multiplying 135303424 by its sum of digits (25), we get a square (3382585600 = 58160²).

Adding to 135303424 its reverse (424303531), we get a palindrome (559606955).

The spelling of 135303424 in words is "one hundred thirty-five million, three hundred three thousand, four hundred twenty-four".