135304224 has 96 divisors (see below), whose sum is σ = 410308416. Its totient is φ = 38584320.

The previous prime is 135304219. The next prime is 135304231. The reversal of 135304224 is 422403531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 135304194 and 135304203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14184 + ... + 21720.

It is an arithmetic number, because the mean of its divisors is an integer number (4274046).

Almost surely, 2^135304224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205154208).

135304224 is an abundant number, since it is smaller than the sum of its proper divisors (275004192).

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

135304224 is a wasteful number, since it uses less digits than its factorization.

135304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135304224 is about 11632.0343878446. The cubic root of 135304224 is about 513.3778398847.

Adding to 135304224 its reverse (422403531), we get a palindrome (557707755).

The spelling of 135304224 in words is "one hundred thirty-five million, three hundred four thousand, two hundred twenty-four".