332027136000 has 1728 divisors, whose sum is σ = 1482581121840. Its totient is φ = 71014809600.

The previous prime is 332027135971. The next prime is 332027136013. The reversal of 332027136000 is 631720233.

332027136000 is a `hidden beast` number, since 3 + 3 + 20 + 27 + 13 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 95971083264 + 236056052736 = 309792^2 + 485856^2 .

It is a super-2 number, since 2×332027136000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1919231914 + ... + 1919232086.

Almost surely, 2^332027136000 is an apocalyptic number.

332027136000 is a gapful number since it is divisible by the number (30) 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 332027136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741290560920).

332027136000 is an abundant number, since it is smaller than the sum of its proper divisors (1150553985840).

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

332027136000 is a wasteful number, since it uses less digits than its factorization.

332027136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 332027136000 its reverse (631720233), we get a palindrome (332658856233).

The spelling of 332027136000 in words is "three hundred thirty-two billion, twenty-seven million, one hundred thirty-six thousand".