131976 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 39744.

The previous prime is 131969. The next prime is 132001. The reversal of 131976 is 679131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

131976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2785 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹³¹⁹⁷⁶ 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 131976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

131976 is an abundant number, since it is smaller than the sum of its proper divisors (271224).

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

131976 is a wasteful number, since it uses less digits than its factorization.

131976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 131976 is about 363.2850120773. The cubic root of 131976 is about 50.9133476651.

It can be divided in two parts, 13197 and 6, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 131976 in words is "one hundred thirty-one thousand, nine hundred seventy-six".