132434127225 has 45 divisors (see below), whose sum is σ = 245344121407. Its totient is φ = 70622800560.

The previous prime is 132434127223. The next prime is 132434127227. The reversal of 132434127225 is 522721434231.

The square root of 132434127225 is 363915.

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

132434127225 is a `hidden beast` number, since 1 + 3 + 24 + 341 + 272 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (132434127223) and next prime (132434127227).

It can be written as a sum of positive squares in only one way, i.e., 47676285801 + 84757841424 = 218349^2 + 291132^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 132434127225 - 2¹ = 132434127223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132434127225.

It is not an unprimeable number, because it can be changed into a prime (132434127223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16372132 + ... + 16380218.

Almost surely, 2^132434127225 is an apocalyptic number.

132434127225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132434127225 is the 363915-th square number.

132434127225 is the 181958-th centered octagonal number.

It is an amenable number.

132434127225 is a deficient number, since it is larger than the sum of its proper divisors (112909994182).

132434127225 is an frugal number, since it uses more digits than its factorization.

132434127225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 8095 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

Multiplying 132434127225 by its sum of digits (36), we get a square (4767628580100 = 2183490²).

The spelling of 132434127225 in words is "one hundred thirty-two billion, four hundred thirty-four million, one hundred twenty-seven thousand, two hundred twenty-five".