131441772 has 96 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 32339520.

The previous prime is 131441759. The next prime is 131441789. The reversal of 131441772 is 277144131.

131441772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13813 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (4193280).

Almost surely, 2^131441772 is an apocalyptic number.

131441772 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 131441772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

131441772 is an abundant number, since it is smaller than the sum of its proper divisors (271113108).

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

131441772 is a wasteful number, since it uses less digits than its factorization.

131441772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7531 (or 7529 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 131441772 is about 11464.8057986169. The cubic root of 131441772 is about 508.4455707973.

The spelling of 131441772 in words is "one hundred thirty-one million, four hundred forty-one thousand, seven hundred seventy-two".