131825472 has 56 divisors (see below), whose sum is σ = 352044000. Its totient is φ = 43531776.

The previous prime is 131825467. The next prime is 131825479. The reversal of 131825472 is 274528131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131825479) 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 7 ways as a sum of consecutive naturals, for example, 17779 + ... + 24077.

It is an arithmetic number, because the mean of its divisors is an integer number (6286500).

Almost surely, 2^131825472 is an apocalyptic number.

131825472 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 131825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022000).

131825472 is an abundant number, since it is smaller than the sum of its proper divisors (220218528).

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

131825472 is a wasteful number, since it uses less digits than its factorization.

131825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6413 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 131825472 is about 11481.5274245198. The cubic root of 131825472 is about 508.9398353833.

The spelling of 131825472 in words is "one hundred thirty-one million, eight hundred twenty-five thousand, four hundred seventy-two".