131052 has 24 divisors (see below), whose sum is σ = 312256. Its totient is φ = 42768.

The previous prime is 131041. The next prime is 131059. The reversal of 131052 is 250131.

Adding to 131052 its reverse (250131), we get a palindrome (381183).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131059) by changing a digit.

131052 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, 723 + ... + 885.

2^{131052} is an apocalyptic number.

131052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131052 is an abundant number, since it is smaller than the sum of its proper divisors (181204).

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

131052 is a wasteful number, since it uses less digits than its factorization.

131052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 131052 is about 362.0110495551. The cubic root of 131052 is about 50.7942498710.

The spelling of 131052 in words is "one hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 67 134 163 201 268 326 402 489 652 804 978 1956 10921 21842 32763 43684 65526 131052

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