132333120 has 84 divisors (see below), whose sum is σ = 455180700. Its totient is φ = 35288064.

The previous prime is 132333109. The next prime is 132333133. The reversal of 132333120 is 21333231.

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 50466816 = 9048^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132333093 and 132333102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20095 + ... + 25854.

Almost surely, 2^132333120 is an apocalyptic number.

132333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132333120 is an abundant number, since it is smaller than the sum of its proper divisors (322847580).

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

132333120 is a wasteful number, since it uses less digits than its factorization.

132333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45972 (or 45959 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132333120 is about 11503.6133453798. The cubic root of 132333120 is about 509.5922923783.

Adding to 132333120 its reverse (21333231), we get a palindrome (153666351).

It can be divided in two parts, 1323 and 33120, that added together give a palindrome (34443).

The spelling of 132333120 in words is "one hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".