131406 has 24 divisors (see below), whose sum is σ = 290472. Its totient is φ = 39600.
The previous prime is 131381. The next prime is 131413. The reversal of 131406 is 604131.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131406.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 816.
It is an arithmetic number, because the mean of its divisors is an integer number (12103).
2131406 is an apocalyptic number.
It is a pronic number, being equal to 362×363.
It is a practical number, because each smaller number is the sum of distinct divisors of 131406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145236).
131406 is an abundant number, since it is smaller than the sum of its proper divisors (159066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131406 is a wasteful number, since it uses less digits than its factorization.
131406 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 208 (or 197 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 131406 is about 362.4996551722. The cubic root of 131406 is about 50.8399441968.
Adding to 131406 its reverse (604131), we get a palindrome (735537).
The spelling of 131406 in words is "one hundred thirty-one thousand, four hundred six".
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