7134336225 has 45 divisors (see below), whose sum is σ = 13222301257. Its totient is φ = 3802952160.

The previous prime is 7134336217. The next prime is 7134336269. The reversal of 7134336225 is 5226334317.

The square root of 7134336225 is 84465.

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

7134336225 is a `hidden beast` number, since 71 + 34 + 336 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1520289 + 7132815936 = 1233^2 + 84456^2 .

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

It is not a de Polignac number, because 7134336225 - 2³ = 7134336217 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 7134336225.

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 44 ways as a sum of consecutive naturals, for example, 3799987 + ... + 3801863.

Almost surely, 2^7134336225 is an apocalyptic number.

7134336225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7134336225 is the 84465-th square number.

7134336225 is the 42233-rd centered octagonal number.

It is an amenable number.

7134336225 is a deficient number, since it is larger than the sum of its proper divisors (6087965032).

7134336225 is an frugal number, since it uses more digits than its factorization.

7134336225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 1885 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The cubic root of 7134336225 is about 1925.0906776873.

Multiplying 7134336225 by its sum of digits (36), we get a square (256836104100 = 506790²).

The spelling of 7134336225 in words is "seven billion, one hundred thirty-four million, three hundred thirty-six thousand, two hundred twenty-five".