131648 has 42 divisors (see below), whose sum is σ = 304038. Its totient is φ = 56320.

The previous prime is 131641. The next prime is 131671. The reversal of 131648 is 846131.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 7744 = 352^2 + 88^2 .

It is not an unprimeable number, because it can be changed into a prime (131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7736 + ... + 7752.

It is an arithmetic number, because the mean of its divisors is an integer number (7239).

2¹³¹⁶⁴⁸ 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 131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152019).

131648 is an abundant number, since it is smaller than the sum of its proper divisors (172390).

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

131648 is a wasteful number, since it uses less digits than its factorization.

131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 30 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 131648 is about 362.8332950544. The cubic root of 131648 is about 50.8711343544.

Subtracting from 131648 its product of digits (576), we obtain a 17-th power (131072 = 2¹⁷).

Adding to 131648 its reverse (846131), we get a palindrome (977779).

It can be divided in two parts, 13 and 1648, that added together give a palindrome (1661).

The spelling of 131648 in words is "one hundred thirty-one thousand, six hundred forty-eight".