131716166148 has 84 divisors (see below), whose sum is σ = 394967879040. Its totient is φ = 37633184496.

The previous prime is 131716166129. The next prime is 131716166173. The reversal of 131716166148 is 841661617131.

131716166148 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 16 + 16 + 614 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 3206028 + ... + 3246851.

It is an arithmetic number, because the mean of its divisors is an integer number (4701998560).

Almost surely, 2^131716166148 is an apocalyptic number.

131716166148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131716166148 is an abundant number, since it is smaller than the sum of its proper divisors (263251712892).

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

131716166148 is an equidigital number, since it uses as much as digits as its factorization.

131716166148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452908 (or 6452891 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 131716166148 in words is "one hundred thirty-one billion, seven hundred sixteen million, one hundred sixty-six thousand, one hundred forty-eight".