131428800 has 126 divisors (see below), whose sum is σ = 467180168. Its totient is φ = 35043840.

The previous prime is 131428793. The next prime is 131428807. The reversal of 131428800 is 8824131.

It is an interprime number because it is at equal distance from previous prime (131428793) and next prime (131428807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131428807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9837 + ... + 18963.

Almost surely, 2^131428800 is an apocalyptic number.

131428800 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 131428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233590084).

131428800 is an abundant number, since it is smaller than the sum of its proper divisors (335751368).

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

131428800 is a wasteful number, since it uses less digits than its factorization.

131428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 131428800 is about 11464.2400533136. The cubic root of 131428800 is about 508.4288440678.

The spelling of 131428800 in words is "one hundred thirty-one million, four hundred twenty-eight thousand, eight hundred".