132877746576 has 135 divisors (see below), whose sum is σ = 382661493123. Its totient is φ = 43042993920.

The previous prime is 132877746503. The next prime is 132877746637. The reversal of 132877746576 is 675647778231.

The square root of 132877746576 is 364524.

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

132877746576 is a `hidden beast` number, since 1 + 32 + 8 + 7 + 77 + 465 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6301184400 + 126576562176 = 79380^2 + 355776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161848246 + ... + 161849066.

Almost surely, 2^132877746576 is an apocalyptic number.

132877746576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132877746576 is the 364524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132877746576

132877746576 is an abundant number, since it is smaller than the sum of its proper divisors (249783746547).

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

132877746576 is an frugal number, since it uses more digits than its factorization.

132877746576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 863 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 132877746576 in words is "one hundred thirty-two billion, eight hundred seventy-seven million, seven hundred forty-six thousand, five hundred seventy-six".