131432000 has 112 divisors (see below), whose sum is σ = 372148608. Its totient is φ = 45043200.

The previous prime is 131431969. The next prime is 131432009. The reversal of 131432000 is 234131.

131432000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (131432009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54827 + ... + 57173.

Almost surely, 2^131432000 is an apocalyptic number.

131432000 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 131432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186074304).

131432000 is an abundant number, since it is smaller than the sum of its proper divisors (240716608).

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

131432000 is an equidigital number, since it uses as much as digits as its factorization.

131432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131432000 is about 11464.3796168829. The cubic root of 131432000 is about 508.4329704061.

Adding to 131432000 its reverse (234131), we get a palindrome (131666131).

The spelling of 131432000 in words is "one hundred thirty-one million, four hundred thirty-two thousand".