131784140084688 has 360 divisors, whose sum is σ = 456487713452160. Its totient is φ = 34750889671680.

The previous prime is 131784140084677. The next prime is 131784140084713. The reversal of 131784140084688 is 886480041487131.

131784140084688 is a `hidden beast` number, since 1 + 3 + 1 + 78 + 4 + 1 + 400 + 84 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1170432298 + ... + 1170544886.

It is an arithmetic number, because the mean of its divisors is an integer number (1268021426256).

Almost surely, 2^{131784140084688} is an apocalyptic number.

131784140084688 is a gapful number since it is divisible by the number (18) 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 131784140084688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228243856726080).

131784140084688 is an abundant number, since it is smaller than the sum of its proper divisors (324703573367472).

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

131784140084688 is a wasteful number, since it uses less digits than its factorization.

131784140084688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119507 (or 119485 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 131784140084688 in words is "one hundred thirty-one trillion, seven hundred eighty-four billion, one hundred forty million, eighty-four thousand, six hundred eighty-eight".