131352 has 32 divisors (see below), whose sum is σ = 354480. Its totient is φ = 40320.
The previous prime is 131321. The next prime is 131357. The reversal of 131352 is 253131.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131357) by changing a digit.
131352 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, 102 + ... + 522.
2131352 is an apocalyptic number.
131352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177240).
131352 is an abundant number, since it is smaller than the sum of its proper divisors (223128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131352 is a wasteful number, since it uses less digits than its factorization.
131352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 443 (or 439 counting only the distinct ones).
The product of its digits is 90, while the sum is 15.
The square root of 131352 is about 362.4251646892. The cubic root of 131352 is about 50.8329791847.
Adding to 131352 its reverse (253131), we get a palindrome (384483).
It can be divided in two parts, 13 and 1352, that multiplied together give a cube (17576 = 263).
The spelling of 131352 in words is "one hundred thirty-one thousand, three hundred fifty-two".
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