131904 has 42 divisors (see below), whose sum is σ = 379730. Its totient is φ = 43776.

The previous prime is 131899. The next prime is 131909. The reversal of 131904 is 409131.

It is an interprime number because it is at equal distance from previous prime (131899) and next prime (131909).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 2304 = 360^2 + 48^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (131909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 462 + ... + 690.

2¹³¹⁹⁰⁴ 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 131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189865).

131904 is an abundant number, since it is smaller than the sum of its proper divisors (247826).

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

131904 is a wasteful number, since it uses less digits than its factorization.

131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131904 is about 363.1859028101. The cubic root of 131904 is about 50.9040873252.

It can be divided in two parts, 131 and 904, that added together give a triangular number (1035 = T₄₅).

The spelling of 131904 in words is "one hundred thirty-one thousand, nine hundred four".