132167420 has 96 divisors (see below), whose sum is σ = 364331520. Its totient is φ = 39018240.

The previous prime is 132167411. The next prime is 132167459. The reversal of 132167420 is 24761231.

132167420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132167420.

It is a congruent number.

It is an unprimeable number.

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, 27002 + ... + 31518.

It is an arithmetic number, because the mean of its divisors is an integer number (3795120).

Almost surely, 2^132167420 is an apocalyptic number.

132167420 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 132167420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182165760).

132167420 is an abundant number, since it is smaller than the sum of its proper divisors (232164100).

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

132167420 is a wasteful number, since it uses less digits than its factorization.

132167420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 132167420 is about 11496.4090045544. The cubic root of 132167420 is about 509.3795093884.

The spelling of 132167420 in words is "one hundred thirty-two million, one hundred sixty-seven thousand, four hundred twenty".