131628 has 24 divisors (see below), whose sum is σ = 351232. Its totient is φ = 37584.

The previous prime is 131627. The next prime is 131639. The reversal of 131628 is 826131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (131627) 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 7 ways as a sum of consecutive naturals, for example, 700 + ... + 867.

2¹³¹⁶²⁸ is an apocalyptic number.

It is an amenable number.

131628 is an abundant number, since it is smaller than the sum of its proper divisors (219604).

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

131628 is a wasteful number, since it uses less digits than its factorization.

131628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 131628 is about 362.8057331410. The cubic root of 131628 is about 50.8685581051.

Adding to 131628 its reverse (826131), we get a palindrome (957759).

The spelling of 131628 in words is "one hundred thirty-one thousand, six hundred twenty-eight".