133197120 has 168 divisors, whose sum is σ = 523670784. Its totient is φ = 30440448.

The previous prime is 133197079. The next prime is 133197121. The reversal of 133197120 is 21791331.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133197121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16857 + ... + 23463.

It is an arithmetic number, because the mean of its divisors is an integer number (3117088).

Almost surely, 2^133197120 is an apocalyptic number.

133197120 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 133197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261835392).

133197120 is an abundant number, since it is smaller than the sum of its proper divisors (390473664).

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

133197120 is a wasteful number, since it uses less digits than its factorization.

133197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 133197120 is about 11541.1056662696. The cubic root of 133197120 is about 510.6989263828.

The spelling of 133197120 in words is "one hundred thirty-three million, one hundred ninety-seven thousand, one hundred twenty".