132314124 has 96 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 39916800.

The previous prime is 132314123. The next prime is 132314131. The reversal of 132314124 is 421413231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132314124.

It is not an unprimeable number, because it can be changed into a prime (132314123) 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, 488109 + ... + 488379.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2^132314124 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 132314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

132314124 is an abundant number, since it is smaller than the sum of its proper divisors (207664116).

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

132314124 is a wasteful number, since it uses less digits than its factorization.

132314124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

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

The square root of 132314124 is about 11502.7876621278. The cubic root of 132314124 is about 509.5679077586.

Adding to 132314124 its reverse (421413231), we get a palindrome (553727355).

The spelling of 132314124 in words is "one hundred thirty-two million, three hundred fourteen thousand, one hundred twenty-four".