273143136672 has 432 divisors, whose sum is σ = 923731833024. Its totient is φ = 76317696000.

The previous prime is 273143136647. The next prime is 273143136677. The reversal of 273143136672 is 276631341372.

273143136672 is a `hidden beast` number, since 273 + 1 + 4 + 313 + 6 + 67 + 2 = 666.

It is a super-2 number, since 2×273143136672² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (273143136677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131254672 + ... + 131256752.

It is an arithmetic number, because the mean of its divisors is an integer number (2138268132).

Almost surely, 2^273143136672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273143136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461865916512).

273143136672 is an abundant number, since it is smaller than the sum of its proper divisors (650588696352).

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

273143136672 is a wasteful number, since it uses less digits than its factorization.

273143136672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2295 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 273143136672 in words is "two hundred seventy-three billion, one hundred forty-three million, one hundred thirty-six thousand, six hundred seventy-two".