131224000 has 112 divisors (see below), whose sum is σ = 332841600. Its totient is φ = 51225600.

The previous prime is 131223991. The next prime is 131224007. The reversal of 131224000 is 422131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131224007) 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, 375826 + ... + 376174.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^131224000 is an apocalyptic number.

131224000 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 131224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

131224000 is an abundant number, since it is smaller than the sum of its proper divisors (201617600).

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

131224000 is an equidigital number, since it uses as much as digits as its factorization.

131224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131224000 is about 11455.3044481585. The cubic root of 131224000 is about 508.1646189783.

Adding to 131224000 its reverse (422131), we get a palindrome (131646131).

The spelling of 131224000 in words is "one hundred thirty-one million, two hundred twenty-four thousand".