133766180 has 12 divisors (see below), whose sum is σ = 280909020. Its totient is φ = 53506464.

The previous prime is 133766167. The next prime is 133766189. The reversal of 133766180 is 81667331.

It can be written as a sum of positive squares in 2 ways, for example, as 103713856 + 30052324 = 10184^2 + 5482^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133766180.

It is not an unprimeable number, because it can be changed into a prime (133766189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3344135 + ... + 3344174.

It is an arithmetic number, because the mean of its divisors is an integer number (23409085).

Almost surely, 2^133766180 is an apocalyptic number.

133766180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133766180 is an abundant number, since it is smaller than the sum of its proper divisors (147142840).

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

133766180 is a wasteful number, since it uses less digits than its factorization.

133766180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6688318 (or 6688316 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 133766180 is about 11565.7330074665. The cubic root of 133766180 is about 511.4251819245.

The spelling of 133766180 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, one hundred eighty".