131786993976 has 256 divisors, whose sum is σ = 377042688000. Its totient is φ = 38029662720.

The previous prime is 131786993867. The next prime is 131786993981. The reversal of 131786993976 is 679399687131.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131786993976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199979935 + ... + 199980593.

It is an arithmetic number, because the mean of its divisors is an integer number (1472823000).

Almost surely, 2^131786993976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131786993976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188521344000).

131786993976 is an abundant number, since it is smaller than the sum of its proper divisors (245255694024).

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

131786993976 is a wasteful number, since it uses less digits than its factorization.

131786993976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its digits is 92588832, while the sum is 69.

The spelling of 131786993976 in words is "one hundred thirty-one billion, seven hundred eighty-six million, nine hundred ninety-three thousand, nine hundred seventy-six".