131444273664 has 320 divisors, whose sum is σ = 425389916160. Its totient is φ = 39744000000.

The previous prime is 131444273663. The next prime is 131444273707. The reversal of 131444273664 is 466372444131.

131444273664 is a `hidden beast` number, since 1 + 314 + 4 + 4 + 273 + 6 + 64 = 666.

131444273664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131444273663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114199489 + ... + 114200639.

It is an arithmetic number, because the mean of its divisors is an integer number (1329343488).

Almost surely, 2^131444273664 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 131444273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212694958080).

131444273664 is an abundant number, since it is smaller than the sum of its proper divisors (293945642496).

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

131444273664 is a wasteful number, since it uses less digits than its factorization.

131444273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1918 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 131444273664 in words is "one hundred thirty-one billion, four hundred forty-four million, two hundred seventy-three thousand, six hundred sixty-four".