131949 has 14 divisors (see below), whose sum is σ = 198926. Its totient is φ = 87480.

The previous prime is 131947. The next prime is 131959. The reversal of 131949 is 949131.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 59049 = 270^2 + 243^2 .

It is not a de Polignac number, because 131949 - 2¹ = 131947 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131941) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 639 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (14209).

2¹³¹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

131949 is a deficient number, since it is larger than the sum of its proper divisors (66977).

131949 is an frugal number, since it uses more digits than its factorization.

131949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 131949 is about 363.2478492710. The cubic root of 131949 is about 50.9098754324.

It can be divided in two parts, 13194 and 9, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 131949 in words is "one hundred thirty-one thousand, nine hundred forty-nine".