131839344 has 120 divisors (see below), whose sum is σ = 454158432. Its totient is φ = 34767360.

The previous prime is 131839343. The next prime is 131839397. The reversal of 131839344 is 443938131.

It is a super-2 number, since 2×131839344² = 34763225252700672, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131839299 and 131839308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131839343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8074 + ... + 18134.

Almost surely, 2^131839344 is an apocalyptic number.

131839344 is a gapful number since it is divisible by the number (14) 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 131839344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227079216).

131839344 is an abundant number, since it is smaller than the sum of its proper divisors (322319088).

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

131839344 is a wasteful number, since it uses less digits than its factorization.

131839344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10095 (or 10086 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 131839344 is about 11482.1315094367. The cubic root of 131839344 is about 508.9576866773.

The spelling of 131839344 in words is "one hundred thirty-one million, eight hundred thirty-nine thousand, three hundred forty-four".