131376 has 80 divisors (see below), whose sum is σ = 428544. Its totient is φ = 33792.

The previous prime is 131371. The next prime is 131381. The reversal of 131376 is 673131.

It is an interprime number because it is at equal distance from previous prime (131371) and next prime (131381).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131371) by changing a digit.

131376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701 + ... + 5723.

2¹³¹³⁷⁶ is an apocalyptic number.

131376 is a gapful number since it is divisible by the number (16) 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 131376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

131376 is an abundant number, since it is smaller than the sum of its proper divisors (297168).

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

131376 is a wasteful number, since it uses less digits than its factorization.

131376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 131376 is about 362.4582734605. The cubic root of 131376 is about 50.8360749813.

The spelling of 131376 in words is "one hundred thirty-one thousand, three hundred seventy-six".