132038920 has 64 divisors (see below), whose sum is σ = 330301440. Its totient is φ = 47174400.

The previous prime is 132038917. The next prime is 132038927. The reversal of 132038920 is 29830231.

It is not an unprimeable number, because it can be changed into a prime (132038927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12025 + ... + 20215.

It is an arithmetic number, because the mean of its divisors is an integer number (5160960).

Almost surely, 2^132038920 is an apocalyptic number.

132038920 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 132038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165150720).

132038920 is an abundant number, since it is smaller than the sum of its proper divisors (198262520).

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

132038920 is a wasteful number, since it uses less digits than its factorization.

132038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 132038920 is about 11490.8189438351. The cubic root of 132038920 is about 509.2143741596.

The spelling of 132038920 in words is "one hundred thirty-two million, thirty-eight thousand, nine hundred twenty".