132205920 has 384 divisors, whose sum is σ = 537062400. Its totient is φ = 27095040.

The previous prime is 132205907. The next prime is 132205939. The reversal of 132205920 is 29502231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811004 + ... + 1811076.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 2^132205920 is an apocalyptic number.

132205920 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 132205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

132205920 is an abundant number, since it is smaller than the sum of its proper divisors (404856480).

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

132205920 is a wasteful number, since it uses less digits than its factorization.

132205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 132205920 is about 11498.0833185362. The cubic root of 132205920 is about 509.4289648623.

The spelling of 132205920 in words is "one hundred thirty-two million, two hundred five thousand, nine hundred twenty".