131752 has 16 divisors (see below), whose sum is σ = 253440. Its totient is φ = 64176.

The previous prime is 131749. The next prime is 131759. The reversal of 131752 is 257131.

It is not an unprimeable number, because it can be changed into a prime (131759) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 153 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹³¹⁷⁵² is an apocalyptic number.

It is an amenable number.

131752 is a deficient number, since it is larger than the sum of its proper divisors (121688).

131752 is a wasteful number, since it uses less digits than its factorization.

131752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 131752 is about 362.9765832667. The cubic root of 131752 is about 50.8845266466.

Adding to 131752 its reverse (257131), we get a palindrome (388883).

It can be divided in two parts, 1317 and 52, that added together give a square (1369 = 37²).

The spelling of 131752 in words is "one hundred thirty-one thousand, seven hundred fifty-two".