132538224 has 160 divisors (see below), whose sum is σ = 443860480. Its totient is φ = 33094656.

The previous prime is 132538193. The next prime is 132538229. The reversal of 132538224 is 422835231.

It is a junction number, because it is equal to n+sod(n) for n = 132538191 and 132538200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132538229) 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 31 ways as a sum of consecutive naturals, for example, 82194 + ... + 83790.

It is an arithmetic number, because the mean of its divisors is an integer number (2774128).

Almost surely, 2^132538224 is an apocalyptic number.

132538224 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 132538224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221930240).

132538224 is an abundant number, since it is smaller than the sum of its proper divisors (311322256).

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

132538224 is a wasteful number, since it uses less digits than its factorization.

132538224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 132538224 is about 11512.5246579540. The cubic root of 132538224 is about 509.8554299952.

The spelling of 132538224 in words is "one hundred thirty-two million, five hundred thirty-eight thousand, two hundred twenty-four".