133105120 has 48 divisors (see below), whose sum is σ = 318917088. Its totient is φ = 52487680.

The previous prime is 133105097. The next prime is 133105129. The reversal of 133105120 is 21501331.

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 = 133105094 and 133105103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133105129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (6644106).

Almost surely, 2^133105120 is an apocalyptic number.

133105120 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 133105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159458544).

133105120 is an abundant number, since it is smaller than the sum of its proper divisors (185811968).

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

133105120 is a wasteful number, since it uses less digits than its factorization.

133105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 133105120 is about 11537.1192244858. The cubic root of 133105120 is about 510.5813184275.

Adding to 133105120 its reverse (21501331), we get a palindrome (154606451).

It can be divided in two parts, 133105 and 120, that added together give a square (133225 = 365²).

The spelling of 133105120 in words is "one hundred thirty-three million, one hundred five thousand, one hundred twenty".