132109920 has 192 divisors, whose sum is σ = 471925440. Its totient is φ = 34504704.

The previous prime is 132109849. The next prime is 132109949. The reversal of 132109920 is 29901231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 228672 + ... + 229248.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 2^132109920 is an apocalyptic number.

132109920 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 132109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235962720).

132109920 is an abundant number, since it is smaller than the sum of its proper divisors (339815520).

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

132109920 is a wasteful number, since it uses less digits than its factorization.

132109920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132109920 is about 11493.9079516064. The cubic root of 132109920 is about 509.3056294304.

The spelling of 132109920 in words is "one hundred thirty-two million, one hundred nine thousand, nine hundred twenty".