131444000 has 96 divisors (see below), whose sum is σ = 342132336. Its totient is φ = 49459200.

The previous prime is 131443993. The next prime is 131444003. The reversal of 131444000 is 444131.

It can be written as a sum of positive squares in 8 ways, for example, as 21864976 + 109579024 = 4676^2 + 10468^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 131444000.

It is not an unprimeable number, because it can be changed into a prime (131444003) 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, 67034 + ... + 68966.

Almost surely, 2^131444000 is an apocalyptic number.

131444000 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 131444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171066168).

131444000 is an abundant number, since it is smaller than the sum of its proper divisors (210688336).

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

131444000 is a wasteful number, since it uses less digits than its factorization.

131444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131444000 is about 11464.9029651367. The cubic root of 131444000 is about 508.4484435785.

Adding to 131444000 its reverse (444131), we get a palindrome (131888131).

The spelling of 131444000 in words is "one hundred thirty-one million, four hundred forty-four thousand".