131345632 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 55065600.

The previous prime is 131345593. The next prime is 131345633. The reversal of 131345632 is 236543131.

It is a self number, because there is not a number n which added to its sum of digits gives 131345632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345633) 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, 273969 + ... + 274447.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^131345632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

131345632 is an abundant number, since it is smaller than the sum of its proper divisors (173473568).

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

131345632 is a wasteful number, since it uses less digits than its factorization.

131345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 131345632 is about 11460.6122000528. The cubic root of 131345632 is about 508.3215770341.

Adding to 131345632 its reverse (236543131), we get a palindrome (367888763).

The spelling of 131345632 in words is "one hundred thirty-one million, three hundred forty-five thousand, six hundred thirty-two".