133171600 has 45 divisors (see below), whose sum is σ = 320500227. Its totient is φ = 53176320.

The previous prime is 133171583. The next prime is 133171603. The reversal of 133171600 is 6171331.

The square root of 133171600 is 11540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 95570176 = 6132^2 + 9776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133171603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 230512 + ... + 231088.

Almost surely, 2^133171600 is an apocalyptic number.

133171600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133171600 is the 11540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133171600

133171600 is an abundant number, since it is smaller than the sum of its proper divisors (187328627).

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

133171600 is an frugal number, since it uses more digits than its factorization.

133171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The cubic root of 133171600 is about 510.6663083876. Note that the first 3 decimals are identical.

The spelling of 133171600 in words is "one hundred thirty-three million, one hundred seventy-one thousand, six hundred".