131309792640 has 192 divisors, whose sum is σ = 488308569840. Its totient is φ = 32322392064.

The previous prime is 131309792639. The next prime is 131309792641. The reversal of 131309792640 is 46297903131.

131309792640 is a `hidden beast` number, since 1 + 313 + 0 + 9 + 79 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131309792639) and next prime (131309792641).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131309792641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 801922 + ... + 951681.

Almost surely, 2^131309792640 is an apocalyptic number.

131309792640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131309792640 is an abundant number, since it is smaller than the sum of its proper divisors (356998777200).

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

131309792640 is a wasteful number, since it uses less digits than its factorization.

131309792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753641 (or 1753626 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 131309792640 in words is "one hundred thirty-one billion, three hundred nine million, seven hundred ninety-two thousand, six hundred forty".