132774689384100 has 189 divisors, whose sum is σ = 431994122449267. Its totient is φ = 35405754194880.

The previous prime is 132774689384041. The next prime is 132774689384147. The reversal of 132774689384100 is 1483986477231.

The square root of 132774689384100 is 11522790.

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

132774689384100 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 7 + 468 + 93 + 84 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 448870520484 + 132325818863616 = 669978^2 + 11503296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3111131962 + ... + 3111174638.

Almost surely, 2^{132774689384100} is an apocalyptic number.

132774689384100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132774689384100 is the 11522790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132774689384100

132774689384100 is an abundant number, since it is smaller than the sum of its proper divisors (299219433065167).

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

132774689384100 is an frugal number, since it uses more digits than its factorization.

132774689384100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85386 (or 42687 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 132774689384100 in words is "one hundred thirty-two trillion, seven hundred seventy-four billion, six hundred eighty-nine million, three hundred eighty-four thousand, one hundred".