1135187964304 has 135 divisors (see below), whose sum is σ = 2370605714883. Its totient is φ = 526554902016.

The previous prime is 1135187964301. The next prime is 1135187964359. The reversal of 1135187964304 is 4034697815311.

The square root of 1135187964304 is 1065452.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69668546704 + 1065519417600 = 263948^2 + 1032240^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1135187964301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3626798452 + ... + 3626798764.

Almost surely, 2^{1135187964304} is an apocalyptic number.

1135187964304 is the 1065452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135187964304

1135187964304 is an abundant number, since it is smaller than the sum of its proper divisors (1235417750579).

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

1135187964304 is an frugal number, since it uses more digits than its factorization.

1135187964304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 1135187964304 in words is "one trillion, one hundred thirty-five billion, one hundred eighty-seven million, nine hundred sixty-four thousand, three hundred four".