132123024 has 120 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 39755520.

The previous prime is 132123001. The next prime is 132123059. The reversal of 132123024 is 420321231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132122988 and 132123006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378402 + ... + 378750.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^132123024 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 132123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

132123024 is an abundant number, since it is smaller than the sum of its proper divisors (274100976).

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

132123024 is a wasteful number, since it uses less digits than its factorization.

132123024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132123024 is about 11494.4779785774. The cubic root of 132123024 is about 509.3224682374.

Adding to 132123024 its reverse (420321231), we get a palindrome (552444255).

The spelling of 132123024 in words is "one hundred thirty-two million, one hundred twenty-three thousand, twenty-four".