131658671104 has 297 divisors, whose sum is σ = 302690997427. Its totient is φ = 57219678208.

The previous prime is 131658671071. The next prime is 131658671129. The reversal of 131658671104 is 401176856131.

It is a happy number.

The square root of 131658671104 is 362848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13014246400 + 118644424704 = 114080^2 + 344448^2 .

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 26 ways as a sum of consecutive naturals, for example, 4539954162 + ... + 4539954190.

Almost surely, 2^131658671104 is an apocalyptic number.

131658671104 is the 362848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131658671104

131658671104 is an abundant number, since it is smaller than the sum of its proper divisors (171032326323).

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

131658671104 is an equidigital number, since it uses as much as digits as its factorization.

131658671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 131658671104 in words is "one hundred thirty-one billion, six hundred fifty-eight million, six hundred seventy-one thousand, one hundred four".