131561472 has 288 divisors, whose sum is σ = 448156800. Its totient is φ = 34062336.

The previous prime is 131561407. The next prime is 131561501. The reversal of 131561472 is 274165131.

It is a congruent number.

It is an unprimeable number.

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, 5720053 + ... + 5720075.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^131561472 is an apocalyptic number.

131561472 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 131561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

131561472 is an abundant number, since it is smaller than the sum of its proper divisors (316595328).

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

131561472 is a wasteful number, since it uses less digits than its factorization.

131561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 131561472 is about 11470.0249345849. The cubic root of 131561472 is about 508.5998659110.

The spelling of 131561472 in words is "one hundred thirty-one million, five hundred sixty-one thousand, four hundred seventy-two".