1205135424 has 42 divisors (see below), whose sum is σ = 3454304750. Its totient is φ = 401711616.

The previous prime is 1205135411. The next prime is 1205135429. The reversal of 1205135424 is 4245315021.

1205135424 is a `hidden beast` number, since 1 + 205 + 1 + 35 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1199375424 + 5760000 = 34632^2 + 2400^2 .

It is not an unprimeable number, because it can be changed into a prime (1205135429) 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 5 ways as a sum of consecutive naturals, for example, 1045549 + ... + 1046700.

Almost surely, 2^1205135424 is an apocalyptic number.

It is an amenable number.

1205135424 is an abundant number, since it is smaller than the sum of its proper divisors (2249169326).

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

1205135424 is a wasteful number, since it uses less digits than its factorization.

1205135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092267 (or 2092254 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1205135424 is about 34715.0604781268. The cubic root of 1205135424 is about 1064.1723014160.

The spelling of 1205135424 in words is "one billion, two hundred five million, one hundred thirty-five thousand, four hundred twenty-four".