131044000 has 72 divisors (see below), whose sum is σ = 323763804. Its totient is φ = 52128000.

The previous prime is 131043989. The next prime is 131044003. The reversal of 131044000 is 440131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 30162064 + 100881936 = 5492^2 + 10044^2 .

It is not an unprimeable number, because it can be changed into a prime (131044003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723910 + ... + 724090.

Almost surely, 2^131044000 is an apocalyptic number.

131044000 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 131044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161881902).

131044000 is an abundant number, since it is smaller than the sum of its proper divisors (192719804).

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

131044000 is an frugal number, since it uses more digits than its factorization.

131044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 188 counting only the distinct ones).

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

The square root of 131044000 is about 11447.4451298095. The cubic root of 131044000 is about 507.9321628059.

Adding to 131044000 its reverse (440131), we get a palindrome (131484131).

The spelling of 131044000 in words is "one hundred thirty-one million, forty-four thousand".