131442432 has 72 divisors (see below), whose sum is σ = 381655680. Its totient is φ = 39828480.

The previous prime is 131442427. The next prime is 131442439. The reversal of 131442432 is 234244131.

It is a super-2 number, since 2×131442432² = 34554225860149248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131442439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 16227.

Almost surely, 2^131442432 is an apocalyptic number.

131442432 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 131442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190827840).

131442432 is an abundant number, since it is smaller than the sum of its proper divisors (250213248).

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

131442432 is a wasteful number, since it uses less digits than its factorization.

131442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15575 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 131442432 is about 11464.8345823217. The cubic root of 131442432 is about 508.4464218041.

Adding to 131442432 its reverse (234244131), we get a palindrome (365686563).

It can be divided in two parts, 13144 and 2432, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 131442432 in words is "one hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".