133168000 has 256 divisors, whose sum is σ = 400982400. Its totient is φ = 43008000.

The previous prime is 133167997. The next prime is 133168001. The reversal of 133168000 is 861331.

133168000 = T₃₀₁₆ + T₃₀₁₇ + ... + T₃₀₄₄.

133168000 = 399² + 400² + ... + 773².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133168001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247980 + ... + 3248020.

Almost surely, 2^133168000 is an apocalyptic number.

133168000 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 133168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

133168000 is an abundant number, since it is smaller than the sum of its proper divisors (267814400).

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

133168000 is an equidigital number, since it uses as much as digits as its factorization.

133168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 133168000 is about 11539.8440197431. The cubic root of 133168000 is about 510.6617067677.

It can be divided in two parts, 13316 and 8000, that added together give a square (21316 = 146²).

The spelling of 133168000 in words is "one hundred thirty-three million, one hundred sixty-eight thousand".