131771328 has 168 divisors, whose sum is σ = 392679936. Its totient is φ = 38937600.

The previous prime is 131771323. The next prime is 131771333. The reversal of 131771328 is 823177131.

It is an interprime number because it is at equal distance from previous prime (131771323) and next prime (131771333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131771323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005823 + ... + 1005953.

Almost surely, 2^131771328 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 131771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196339968).

131771328 is an abundant number, since it is smaller than the sum of its proper divisors (260908608).

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

131771328 is a wasteful number, since it uses less digits than its factorization.

131771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 131771328 is about 11479.1693079247. The cubic root of 131771328 is about 508.8701477588.

The spelling of 131771328 in words is "one hundred thirty-one million, seven hundred seventy-one thousand, three hundred twenty-eight".