131634 has 24 divisors (see below), whose sum is σ = 292032. Its totient is φ = 42840.

The previous prime is 131627. The next prime is 131639. The reversal of 131634 is 436131.

131634 is a `hidden beast` number, since 1 + 31 + 634 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131639) 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 11 ways as a sum of consecutive naturals, for example, 1227 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2¹³¹⁶³⁴ is an apocalyptic number.

131634 is an abundant number, since it is smaller than the sum of its proper divisors (160398).

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

131634 is a wasteful number, since it uses less digits than its factorization.

131634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131634 is about 362.8140019349. The cubic root of 131634 is about 50.8693310073.

Adding to 131634 its reverse (436131), we get a palindrome (567765).

It can be divided in two parts, 1316 and 34, that multiplied together give a palindrome (44744).

The spelling of 131634 in words is "one hundred thirty-one thousand, six hundred thirty-four".