131638 has 16 divisors (see below), whose sum is σ = 218736. Its totient is φ = 59040.

The previous prime is 131627. The next prime is 131639. The reversal of 131638 is 836131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131639) by changing a digit.

131638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545 + ... + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹³¹⁶³⁸ is an apocalyptic number.

131638 is a deficient number, since it is larger than the sum of its proper divisors (87098).

131638 is a wasteful number, since it uses less digits than its factorization.

131638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 432, while the sum is 22.

The square root of 131638 is about 362.8195143594. The cubic root of 131638 is about 50.8698462624.

Adding to 131638 its reverse (836131), we get a palindrome (967769).

The spelling of 131638 in words is "one hundred thirty-one thousand, six hundred thirty-eight".