131844672 has 140 divisors (see below), whose sum is σ = 404766780. Its totient is φ = 42384384.

The previous prime is 131844659. The next prime is 131844679. The reversal of 131844672 is 276448131.

131844672 is a `hidden beast` number, since 13 + 184 + 467 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 40144896 = 9576^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131844679) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149898 + ... + 150774.

Almost surely, 2^131844672 is an apocalyptic number.

131844672 is a gapful number since it is divisible by the number (12) 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 131844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202383390).

131844672 is an abundant number, since it is smaller than the sum of its proper divisors (272922108).

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

131844672 is an equidigital number, since it uses as much as digits as its factorization.

131844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 911 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 131844672 is about 11482.3635197637. The cubic root of 131844672 is about 508.9645427238.

The spelling of 131844672 in words is "one hundred thirty-one million, eight hundred forty-four thousand, six hundred seventy-two".