131189248 has 40 divisors (see below), whose sum is σ = 263406132. Its totient is φ = 65273856.

The previous prime is 131189237. The next prime is 131189287. The reversal of 131189248 is 842981131.

It can be written as a sum of positive squares in 2 ways, for example, as 97456384 + 33732864 = 9872^2 + 5808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131086 + ... + 132082.

Almost surely, 2^131189248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131703066).

131189248 is an abundant number, since it is smaller than the sum of its proper divisors (132216884).

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

131189248 is an frugal number, since it uses more digits than its factorization.

131189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its digits is 13824, while the sum is 37.

The square root of 131189248 is about 11453.7874958461. The cubic root of 131189248 is about 508.1197560060.

It can be divided in two parts, 13118 and 9248, that added together give a triangular number (22366 = T₂₁₁).

The spelling of 131189248 in words is "one hundred thirty-one million, one hundred eighty-nine thousand, two hundred forty-eight".