131214432 has 192 divisors, whose sum is σ = 390930624. Its totient is φ = 38338560.

The previous prime is 131214427. The next prime is 131214439. The reversal of 131214432 is 234412131.

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 = 131214399 and 131214408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2475718 + ... + 2475770.

It is an arithmetic number, because the mean of its divisors is an integer number (2036097).

Almost surely, 2^131214432 is an apocalyptic number.

131214432 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 131214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195465312).

131214432 is an abundant number, since it is smaller than the sum of its proper divisors (259716192).

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

131214432 is a wasteful number, since it uses less digits than its factorization.

131214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 131214432 is about 11454.8868174243. The cubic root of 131214432 is about 508.1522679926.

Adding to 131214432 its reverse (234412131), we get a palindrome (365626563).

The spelling of 131214432 in words is "one hundred thirty-one million, two hundred fourteen thousand, four hundred thirty-two".