131534112 has 96 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 40393728.

The previous prime is 131534099. The next prime is 131534113. The reversal of 131534112 is 211435131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131534113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66514 + ... + 68462.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^131534112 is an apocalyptic number.

131534112 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 131534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

131534112 is an abundant number, since it is smaller than the sum of its proper divisors (241929888).

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

131534112 is a wasteful number, since it uses less digits than its factorization.

131534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2010 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 131534112 is about 11468.8321986155. The cubic root of 131534112 is about 508.5646067102.

Adding to 131534112 its reverse (211435131), we get a palindrome (342969243).

The spelling of 131534112 in words is "one hundred thirty-one million, five hundred thirty-four thousand, one hundred twelve".