132312432 has 80 divisors (see below), whose sum is σ = 393585920. Its totient is φ = 37518336.

The previous prime is 132312359. The next prime is 132312437. The reversal of 132312432 is 234213231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 132312399 and 132312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45288 + ... + 48120.

It is an arithmetic number, because the mean of its divisors is an integer number (4919824).

Almost surely, 2^132312432 is an apocalyptic number.

132312432 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 132312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196792960).

132312432 is an abundant number, since it is smaller than the sum of its proper divisors (261273488).

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

132312432 is a wasteful number, since it uses less digits than its factorization.

132312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2984 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 132312432 is about 11502.7141145036. The cubic root of 132312432 is about 509.5657356736.

Adding to 132312432 its reverse (234213231), we get a palindrome (366525663).

The spelling of 132312432 in words is "one hundred thirty-two million, three hundred twelve thousand, four hundred thirty-two".