131051232 has 288 divisors, whose sum is σ = 445798080. Its totient is φ = 36126720.

The previous prime is 131051231. The next prime is 131051233. The reversal of 131051232 is 232150131.

It is an interprime number because it is at equal distance from previous prime (131051231) and next prime (131051233).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131051231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845757 + ... + 1845827.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^131051232 is an apocalyptic number.

131051232 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 131051232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

131051232 is an abundant number, since it is smaller than the sum of its proper divisors (314746848).

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

131051232 is a wasteful number, since it uses less digits than its factorization.

131051232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131051232 is about 11447.7610037946. The cubic root of 131051232 is about 507.9415064814.

The spelling of 131051232 in words is "one hundred thirty-one million, fifty-one thousand, two hundred thirty-two".