131377186944 has 192 divisors, whose sum is σ = 386199754200. Its totient is φ = 42852925440.

The previous prime is 131377186921. The next prime is 131377186951. The reversal of 131377186944 is 449681773131.

131377186944 is a `hidden beast` number, since 1 + 3 + 1 + 377 + 186 + 94 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130240148544 + 1137038400 = 360888^2 + 33720^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24969274 + ... + 24974534.

Almost surely, 2^131377186944 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 131377186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193099877100).

131377186944 is an abundant number, since it is smaller than the sum of its proper divisors (254822567256).

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

131377186944 is a wasteful number, since it uses less digits than its factorization.

131377186944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5728 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 131377186944 in words is "one hundred thirty-one billion, three hundred seventy-seven million, one hundred eighty-six thousand, nine hundred forty-four".