131464191672 has 128 divisors (see below), whose sum is σ = 403295155200. Its totient is φ = 39837575520.

The previous prime is 131464191671. The next prime is 131464191673. The reversal of 131464191672 is 276191464131.

131464191672 is a `hidden beast` number, since 1 + 31 + 46 + 419 + 167 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131464191671) and next prime (131464191673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131464191671) 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, 149088 + ... + 533999.

It is an arithmetic number, because the mean of its divisors is an integer number (3150743400).

Almost surely, 2^131464191672 is an apocalyptic number.

131464191672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131464191672 is an abundant number, since it is smaller than the sum of its proper divisors (271830963528).

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

131464191672 is an equidigital number, since it uses as much as digits as its factorization.

131464191672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683125 (or 683103 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 131464191672 in words is "one hundred thirty-one billion, four hundred sixty-four million, one hundred ninety-one thousand, six hundred seventy-two".