131785871760 has 120 divisors (see below), whose sum is σ = 442663453440. Its totient is φ = 35136343296.

The previous prime is 131785871677. The next prime is 131785871779. The reversal of 131785871760 is 67178587131.

131785871760 is a `hidden beast` number, since 1 + 317 + 85 + 87 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 131785871697 and 131785871706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4780737 + ... + 4808223.

It is an arithmetic number, because the mean of its divisors is an integer number (3688862112).

Almost surely, 2^131785871760 is an apocalyptic number.

131785871760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131785871760 is an abundant number, since it is smaller than the sum of its proper divisors (310877581680).

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

131785871760 is a wasteful number, since it uses less digits than its factorization.

131785871760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34165 (or 34156 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 131785871760 in words is "one hundred thirty-one billion, seven hundred eighty-five million, eight hundred seventy-one thousand, seven hundred sixty".