130938673939200 has 648 divisors, whose sum is σ = 502654255006176. Its totient is φ = 32400162816000.

The previous prime is 130938673939181. The next prime is 130938673939277. The reversal of 130938673939200 is 2939376839031.

130938673939200 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 38 + 6 + 7 + 393 + 9 + 200 = 666.

It is a super-4 number, since 4×130938673939200⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68581510 + ... + 70464890.

It is an arithmetic number, because the mean of its divisors is an integer number (775701010812).

Almost surely, 2^{130938673939200} is an apocalyptic number.

130938673939200 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 130938673939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251327127503088).

130938673939200 is an abundant number, since it is smaller than the sum of its proper divisors (371715581066976).

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

130938673939200 is a wasteful number, since it uses less digits than its factorization.

130938673939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883501 (or 1883479 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 130938673939200 in words is "one hundred thirty trillion, nine hundred thirty-eight billion, six hundred seventy-three million, nine hundred thirty-nine thousand, two hundred".