131630037768 has 64 divisors (see below), whose sum is σ = 366686880000. Its totient is φ = 43750933056.

The previous prime is 131630037761. The next prime is 131630037769. The reversal of 131630037768 is 867730036131.

It is a happy number.

131630037768 is a `hidden beast` number, since 1 + 3 + 1 + 630 + 0 + 3 + 7 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (131630037761) 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 15 ways as a sum of consecutive naturals, for example, 797680 + ... + 948447.

It is an arithmetic number, because the mean of its divisors is an integer number (5729482500).

Almost surely, 2^131630037768 is an apocalyptic number.

131630037768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131630037768 is an abundant number, since it is smaller than the sum of its proper divisors (235056842232).

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

131630037768 is a wasteful number, since it uses less digits than its factorization.

131630037768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746491 (or 1746481 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 131630037768 in words is "one hundred thirty-one billion, six hundred thirty million, thirty-seven thousand, seven hundred sixty-eight".