133122220 has 144 divisors (see below), whose sum is σ = 363007008. Its totient is φ = 40535040.

The previous prime is 133122217. The next prime is 133122259. The reversal of 133122220 is 22221331.

It is a junction number, because it is equal to n+sod(n) for n = 133122194 and 133122203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571224 + ... + 571456.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882).

Almost surely, 2^133122220 is an apocalyptic number.

133122220 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 133122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181503504).

133122220 is an abundant number, since it is smaller than the sum of its proper divisors (229884788).

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

133122220 is a wasteful number, since it uses less digits than its factorization.

133122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133122220 is about 11537.8602868990. The cubic root of 133122220 is about 510.6031822663.

Adding to 133122220 its reverse (22221331), we get a palindrome (155343551).

The spelling of 133122220 in words is "one hundred thirty-three million, one hundred twenty-two thousand, two hundred twenty".