133776180 has 72 divisors (see below), whose sum is σ = 409441032. Its totient is φ = 35352576.

The previous prime is 133776161. The next prime is 133776221. The reversal of 133776180 is 81677331.

133776180 is a `hidden beast` number, since 1 + 3 + 37 + 7 + 618 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 118984464 = 3846^2 + 10908^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17052 + ... + 23628.

It is an arithmetic number, because the mean of its divisors is an integer number (5686681).

Almost surely, 2^133776180 is an apocalyptic number.

133776180 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 133776180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204720516).

133776180 is an abundant number, since it is smaller than the sum of its proper divisors (275664852).

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

133776180 is a wasteful number, since it uses less digits than its factorization.

133776180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 133776180 is about 11566.1653109404. The cubic root of 133776180 is about 511.4379258641.

It can be divided in two parts, 133776 and 180, that added together give a square (133956 = 366²).

The spelling of 133776180 in words is "one hundred thirty-three million, seven hundred seventy-six thousand, one hundred eighty".