1164132500 has 60 divisors (see below), whose sum is σ = 2633672580. Its totient is φ = 449568000.

The previous prime is 1164132493. The next prime is 1164132523. The reversal of 1164132500 is 52314611.

It can be written as a sum of positive squares in 10 ways, for example, as 904084624 + 260047876 = 30068^2 + 16126^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64472 + ... + 80528.

It is an arithmetic number, because the mean of its divisors is an integer number (43894543).

Almost surely, 2^1164132500 is an apocalyptic number.

1164132500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316836290).

1164132500 is an abundant number, since it is smaller than the sum of its proper divisors (1469540080).

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

1164132500 is a wasteful number, since it uses less digits than its factorization.

1164132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1164132500 is about 34119.3859850965. The cubic root of 1164132500 is about 1051.9638228679.

The spelling of 1164132500 in words is "one billion, one hundred sixty-four million, one hundred thirty-two thousand, five hundred".