131966918677440 has 1120 divisors, whose sum is σ = 593280764550144. Its totient is φ = 27046027837440.

The previous prime is 131966918677403. The next prime is 131966918677469. The reversal of 131966918677440 is 44776819669131.

131966918677440 is a `hidden beast` number, since 1 + 3 + 1 + 96 + 6 + 91 + 8 + 6 + 7 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145243437 + ... + 146149203.

Almost surely, 2^{131966918677440} is an apocalyptic number.

131966918677440 is a gapful number since it is divisible by the number (10) 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 131966918677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296640382275072).

131966918677440 is an abundant number, since it is smaller than the sum of its proper divisors (461313845872704).

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

131966918677440 is a wasteful number, since it uses less digits than its factorization.

131966918677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905887 (or 905868 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 131966918677440 in words is "one hundred thirty-one trillion, nine hundred sixty-six billion, nine hundred eighteen million, six hundred seventy-seven thousand, four hundred forty".