131552 has 12 divisors (see below), whose sum is σ = 259056. Its totient is φ = 65760.

The previous prime is 131543. The next prime is 131561. The reversal of 131552 is 255131.

Adding to 131552 its reverse (255131), we get a palindrome (386683).

It is an interprime number because it is at equal distance from previous prime (131543) and next prime (131561).

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number *n* which added to its sum of digits gives 131552.

It is a congruent number.

It is an unprimeable number.

131552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 2024 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (21588).

2^{131552} is an apocalyptic number.

It is an amenable number.

131552 is a deficient number, since it is larger than the sum of its proper divisors (127504).

131552 is an equidigital number, since it uses as much as digits as its factorization.

131552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4113 counting only the distinct ones).

The product of its digits is 150, while the sum is 17.

The square root of 131552 is about 362.7009787690. The cubic root of 131552 is about 50.8587659770.

The spelling of 131552 in words is "one hundred thirty-one thousand, five hundred fifty-two".

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