131328000 has 384 divisors, whose sum is σ = 511056000. Its totient is φ = 33177600.

The previous prime is 131327993. The next prime is 131328007. The reversal of 131328000 is 823131.

It is an interprime number because it is at equal distance from previous prime (131327993) and next prime (131328007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131328007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911991 + ... + 6912009.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^131328000 is an apocalyptic number.

131328000 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 131328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000).

131328000 is an abundant number, since it is smaller than the sum of its proper divisors (379728000).

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

131328000 is an equidigital number, since it uses as much as digits as its factorization.

131328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131328000 is about 11459.8429308608. The cubic root of 131328000 is about 508.2988301106.

The spelling of 131328000 in words is "one hundred thirty-one million, three hundred twenty-eight thousand".