133303968 has 288 divisors, whose sum is σ = 469647360. Its totient is φ = 36391680.

The previous prime is 133303949. The next prime is 133303969. The reversal of 133303968 is 869303331.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133303969) 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 47 ways as a sum of consecutive naturals, for example, 1687353 + ... + 1687431.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 2^133303968 is an apocalyptic number.

133303968 is a gapful number since it is divisible by the number (18) 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 133303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

133303968 is an abundant number, since it is smaller than the sum of its proper divisors (336343392).

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

133303968 is an equidigital number, since it uses as much as digits as its factorization.

133303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133303968 is about 11545.7337575401. The cubic root of 133303968 is about 510.8354472888.

The spelling of 133303968 in words is "one hundred thirty-three million, three hundred three thousand, nine hundred sixty-eight".