131411232 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 41241600.

The previous prime is 131411227. The next prime is 131411237. The reversal of 131411232 is 232114131.

It is an interprime number because it is at equal distance from previous prime (131411227) and next prime (131411237).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (131411237) 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 23 ways as a sum of consecutive naturals, for example, 365869 + ... + 366227.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^131411232 is an apocalyptic number.

131411232 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 131411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

131411232 is an abundant number, since it is smaller than the sum of its proper divisors (264853728).

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

131411232 is a wasteful number, since it uses less digits than its factorization.

131411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131411232 is about 11463.4738190480. The cubic root of 131411232 is about 508.4061892769.

Adding to 131411232 its reverse (232114131), we get a palindrome (363525363).

The spelling of 131411232 in words is "one hundred thirty-one million, four hundred eleven thousand, two hundred thirty-two".