132024420 has 144 divisors (see below), whose sum is σ = 441080640. Its totient is φ = 31699200.

The previous prime is 132024391. The next prime is 132024433. The reversal of 132024420 is 24420231.

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 = 132024393 and 132024402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259126 + ... + 259634.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^132024420 is an apocalyptic number.

132024420 is a gapful number since it is divisible by the number (10) 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 132024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

132024420 is an abundant number, since it is smaller than the sum of its proper divisors (309056220).

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

132024420 is a wasteful number, since it uses less digits than its factorization.

132024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132024420 is about 11490.1879880183. The cubic root of 132024420 is about 509.1957334974.

Adding to 132024420 its reverse (24420231), we get a palindrome (156444651).

The spelling of 132024420 in words is "one hundred thirty-two million, twenty-four thousand, four hundred twenty".