132181920 has 288 divisors, whose sum is σ = 508540032. Its totient is φ = 31021056.

The previous prime is 132181901. The next prime is 132181921. The reversal of 132181920 is 29181231.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (132181921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430407 + ... + 430713.

It is an arithmetic number, because the mean of its divisors is an integer number (1765764).

Almost surely, 2^132181920 is an apocalyptic number.

132181920 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 132181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254270016).

132181920 is an abundant number, since it is smaller than the sum of its proper divisors (376358112).

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

132181920 is a wasteful number, since it uses less digits than its factorization.

132181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 132181920 is about 11497.0396189628. The cubic root of 132181920 is about 509.3981366032.

The spelling of 132181920 in words is "one hundred thirty-two million, one hundred eighty-one thousand, nine hundred twenty".