131673600657 has 24 divisors (see below), whose sum is σ = 210138948864. Its totient is φ = 79026609024.

The previous prime is 131673600601. The next prime is 131673600677. The reversal of 131673600657 is 756006376131.

131673600657 is a `hidden beast` number, since 1 + 31 + 6 + 7 + 3 + 600 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 131673600657 - 2⁷ = 131673600529 is a prime.

It is a super-2 number, since 2×131673600657² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131673600677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18705433 + ... + 18712470.

It is an arithmetic number, because the mean of its divisors is an integer number (8755789536).

Almost surely, 2^131673600657 is an apocalyptic number.

131673600657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131673600657 is a deficient number, since it is larger than the sum of its proper divisors (78465348207).

131673600657 is a wasteful number, since it uses less digits than its factorization.

131673600657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37417949 (or 37417946 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

Adding to 131673600657 its reverse (756006376131), we get a palindrome (887679976788).

The spelling of 131673600657 in words is "one hundred thirty-one billion, six hundred seventy-three million, six hundred thousand, six hundred fifty-seven".