133128360 has 160 divisors (see below), whose sum is σ = 473976360. Its totient is φ = 33398784.

The previous prime is 133128319. The next prime is 133128389. The reversal of 133128360 is 63821331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133125444 + 2916 = 11538^2 + 54^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53872 + ... + 56288.

Almost surely, 2^133128360 is an apocalyptic number.

133128360 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 133128360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236988180).

133128360 is an abundant number, since it is smaller than the sum of its proper divisors (340848000).

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

133128360 is a wasteful number, since it uses less digits than its factorization.

133128360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133128360 is about 11538.1263643626. The cubic root of 133128360 is about 510.6110323341.

Adding to 133128360 its reverse (63821331), we get a palindrome (196949691).

The spelling of 133128360 in words is "one hundred thirty-three million, one hundred twenty-eight thousand, three hundred sixty".