131544000 has 560 divisors, whose sum is σ = 575340480. Its totient is φ = 29030400.

The previous prime is 131543989. The next prime is 131544001. The reversal of 131544000 is 445131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131544001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535986 + ... + 4536014.

Almost surely, 2^131544000 is an apocalyptic number.

131544000 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 131544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287670240).

131544000 is an abundant number, since it is smaller than the sum of its proper divisors (443796480).

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

131544000 is an equidigital number, since it uses as much as digits as its factorization.

131544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131544000 is about 11469.2632718933. The cubic root of 131544000 is about 508.5773500732.

Adding to 131544000 its reverse (445131), we get a palindrome (131989131).

The spelling of 131544000 in words is "one hundred thirty-one million, five hundred forty-four thousand".