132110880 has 192 divisors, whose sum is σ = 459841536. Its totient is φ = 31616000.

The previous prime is 132110879. The next prime is 132110903. The reversal of 132110880 is 88011231.

It is a super-2 number, since 2×132110880² = 34906569228748800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132110880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691585 + ... + 691775.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 2^132110880 is an apocalyptic number.

132110880 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 132110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229920768).

132110880 is an abundant number, since it is smaller than the sum of its proper divisors (327730656).

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

132110880 is a wasteful number, since it uses less digits than its factorization.

132110880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 132110880 is about 11493.9497127837. The cubic root of 132110880 is about 509.3068630804.

The spelling of 132110880 in words is "one hundred thirty-two million, one hundred ten thousand, eight hundred eighty".