135904224 has 96 divisors (see below), whose sum is σ = 366944256. Its totient is φ = 44029440.

The previous prime is 135904211. The next prime is 135904229. The reversal of 135904224 is 422409531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135904191 and 135904200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135904229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865554 + ... + 865710.

It is an arithmetic number, because the mean of its divisors is an integer number (3822336).

Almost surely, 2^135904224 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 135904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183472128).

135904224 is an abundant number, since it is smaller than the sum of its proper divisors (231040032).

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

135904224 is a wasteful number, since it uses less digits than its factorization.

135904224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135904224 is about 11657.7967043520. The cubic root of 135904224 is about 514.1355706325.

The spelling of 135904224 in words is "one hundred thirty-five million, nine hundred four thousand, two hundred twenty-four".