327131136000 has 1360 divisors, whose sum is σ = 1336011945840. Its totient is φ = 79272345600.

The previous prime is 327131135999. The next prime is 327131136053. The reversal of 327131136000 is 631131723.

327131136000 is a `hidden beast` number, since 3 + 27 + 1 + 31 + 1 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 60776054784 + 266355081216 = 246528^2 + 516096^2 .

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11280383986 + ... + 11280384014.

Almost surely, 2^327131136000 is an apocalyptic number.

327131136000 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 327131136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668005972920).

327131136000 is an abundant number, since it is smaller than the sum of its proper divisors (1008880809840).

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

327131136000 is an frugal number, since it uses more digits than its factorization.

327131136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 327131136000 its reverse (631131723), we get a palindrome (327762267723).

The spelling of 327131136000 in words is "three hundred twenty-seven billion, one hundred thirty-one million, one hundred thirty-six thousand".