582132136900 has 36 divisors (see below), whose sum is σ = 1266040257300. Its totient is φ = 232334233600.

The previous prime is 582132136891. The next prime is 582132136967. The reversal of 582132136900 is 9631231285.

It can be written as a sum of positive squares in 6 ways, for example, as 113422115524 + 468710021376 = 336782^2 + 684624^2 .

It is a super-2 number, since 2×582132136900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6437641 + ... + 6527440.

It is an arithmetic number, because the mean of its divisors is an integer number (35167784925).

Almost surely, 2^582132136900 is an apocalyptic number.

582132136900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

582132136900 is an abundant number, since it is smaller than the sum of its proper divisors (683908120400).

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

582132136900 is a wasteful number, since it uses less digits than its factorization.

582132136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965544 (or 12965537 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 582132136900 in words is "five hundred eighty-two billion, one hundred thirty-two million, one hundred thirty-six thousand, nine hundred".