133330176 has 162 divisors, whose sum is σ = 447565482. Its totient is φ = 38062080.

The previous prime is 133330159. The next prime is 133330177. The reversal of 133330176 is 671033331.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 2822400 = 11424^2 + 1680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133330177) 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 17 ways as a sum of consecutive naturals, for example, 112306 + ... + 113486.

Almost surely, 2^133330176 is an apocalyptic number.

133330176 is a gapful number since it is divisible by the number (16) 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 133330176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223782741).

133330176 is an abundant number, since it is smaller than the sum of its proper divisors (314235306).

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

133330176 is a wasteful number, since it uses less digits than its factorization.

133330176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 133330176 is about 11546.8686664394. The cubic root of 133330176 is about 510.8689224067.

The spelling of 133330176 in words is "one hundred thirty-three million, three hundred thirty thousand, one hundred seventy-six".