131328400 has 240 divisors, whose sum is σ = 398545920. Its totient is φ = 40550400.

The previous prime is 131328391. The next prime is 131328409. The reversal of 131328400 is 4823131.

It is an interprime number because it is at equal distance from previous prime (131328391) and next prime (131328409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131328409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475556 + ... + 1475644.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^131328400 is an apocalyptic number.

131328400 is a gapful number since it is divisible by the number (10) 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 131328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

131328400 is an abundant number, since it is smaller than the sum of its proper divisors (267217520).

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

131328400 is a wasteful number, since it uses less digits than its factorization.

131328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 131328400 is about 11459.8603830937. The cubic root of 131328400 is about 508.2993461704.

The spelling of 131328400 in words is "one hundred thirty-one million, three hundred twenty-eight thousand, four hundred".