132133120 has 72 divisors (see below), whose sum is σ = 361738944. Its totient is φ = 45299712.

The previous prime is 132133103. The next prime is 132133147. The reversal of 132133120 is 21331231.

It is a super-2 number, since 2×132133120² = 34918322801868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132133094 and 132133103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1587 + ... + 16333.

It is an arithmetic number, because the mean of its divisors is an integer number (5024152).

Almost surely, 2^132133120 is an apocalyptic number.

132133120 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 132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180869472).

132133120 is an abundant number, since it is smaller than the sum of its proper divisors (229605824).

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

132133120 is an equidigital number, since it uses as much as digits as its factorization.

132133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14775 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132133120 is about 11494.9171375874. The cubic root of 132133120 is about 509.3354409666.

Adding to 132133120 its reverse (21331231), we get a palindrome (153464351).

The spelling of 132133120 in words is "one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".