132111420 has 96 divisors (see below), whose sum is σ = 447648768. Its totient is φ = 28419072.

The previous prime is 132111409. The next prime is 132111431. The reversal of 132111420 is 24111231.

132111420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132111409) and next prime (132111431).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132111420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (4663008).

Almost surely, 2^132111420 is an apocalyptic number.

132111420 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 132111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223824384).

132111420 is an abundant number, since it is smaller than the sum of its proper divisors (315537348).

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

132111420 is a wasteful number, since it uses less digits than its factorization.

132111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18539 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 132111420 is about 11493.9732033792. The cubic root of 132111420 is about 509.3075570059.

Adding to 132111420 its reverse (24111231), we get a palindrome (156222651).

The spelling of 132111420 in words is "one hundred thirty-two million, one hundred eleven thousand, four hundred twenty".