133332120 has 192 divisors, whose sum is σ = 463039200. Its totient is φ = 33177600.

The previous prime is 133332119. The next prime is 133332131. The reversal of 133332120 is 21233331.

133332120 = T₁₂₁ + T₁₂₂ + ... + T₉₂₈.

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 = 133332093 and 133332102.

It is a congruent number.

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, 690744 + ... + 690936.

Almost surely, 2^133332120 is an apocalyptic number.

133332120 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 133332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231519600).

133332120 is an abundant number, since it is smaller than the sum of its proper divisors (329707080).

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

133332120 is a wasteful number, since it uses less digits than its factorization.

133332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

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

The square root of 133332120 is about 11546.9528447985. The cubic root of 133332120 is about 510.8714052764.

Adding to 133332120 its reverse (21233331), we get a palindrome (154565451).

The spelling of 133332120 in words is "one hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty".