131640574464 has 480 divisors, whose sum is σ = 467980761600. Its totient is φ = 36392509440.

The previous prime is 131640574459. The next prime is 131640574477. The reversal of 131640574464 is 464475046131.

131640574464 is a `hidden beast` number, since 1 + 3 + 16 + 4 + 0 + 574 + 4 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20995522 + ... + 21001790.

It is an arithmetic number, because the mean of its divisors is an integer number (974959920).

Almost surely, 2^131640574464 is an apocalyptic number.

131640574464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131640574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233990380800).

131640574464 is an abundant number, since it is smaller than the sum of its proper divisors (336340187136).

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

131640574464 is an equidigital number, since it uses as much as digits as its factorization.

131640574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 131640574464 in words is "one hundred thirty-one billion, six hundred forty million, five hundred seventy-four thousand, four hundred sixty-four".