132980562225 has 243 divisors, whose sum is σ = 291571109739. Its totient is φ = 57762936000.

The previous prime is 132980562199. The next prime is 132980562233. The reversal of 132980562225 is 522265089231.

The square root of 132980562225 is 364665.

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

132980562225 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 80 + 562 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47873002401 + 85107559824 = 218799^2 + 291732^2 .

It is not a de Polignac number, because 132980562225 - 2⁹ = 132980561713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 880665900 + ... + 880666050.

Almost surely, 2^132980562225 is an apocalyptic number.

132980562225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132980562225 is the 364665-th square number.

132980562225 is the 182333-rd centered octagonal number.

It is an amenable number.

132980562225 is an abundant number, since it is smaller than the sum of its proper divisors (158590547514).

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

132980562225 is a wasteful number, since it uses less digits than its factorization.

132980562225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 132980562225 in words is "one hundred thirty-two billion, nine hundred eighty million, five hundred sixty-two thousand, two hundred twenty-five".