131952 has 20 divisors (see below), whose sum is σ = 341000. Its totient is φ = 43968.

The previous prime is 131947. The next prime is 131959. The reversal of 131952 is 259131.

It is a super-2 number, since 2×131952² = 34822660608, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

131952 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 3 ways as a sum of consecutive naturals, for example, 1327 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (17050).

2¹³¹⁹⁵² is an apocalyptic number.

131952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131952 is an abundant number, since it is smaller than the sum of its proper divisors (209048).

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

131952 is a wasteful number, since it uses less digits than its factorization.

131952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 131952 is about 363.2519786594. The cubic root of 131952 is about 50.9102612594.

The spelling of 131952 in words is "one hundred thirty-one thousand, nine hundred fifty-two".