147621166225 has 81 divisors (see below), whose sum is σ = 208016264883. Its totient is φ = 103867146240.

The previous prime is 147621166207. The next prime is 147621166229. The reversal of 147621166225 is 522661126741.

The square root of 147621166225 is 384215.

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

It can be written as a sum of positive squares in 13 ways, for example, as 55112727121 + 92508439104 = 234761^2 + 304152^2 .

It is not a de Polignac number, because 147621166225 - 2¹¹ = 147621164177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147621166229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 574401297 + ... + 574401553.

Almost surely, 2^147621166225 is an apocalyptic number.

147621166225 is the 384215-th square number.

147621166225 is the 192108-th centered octagonal number.

It is an amenable number.

147621166225 is a deficient number, since it is larger than the sum of its proper divisors (60395098658).

147621166225 is an equidigital number, since it uses as much as digits as its factorization.

147621166225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The spelling of 147621166225 in words is "one hundred forty-seven billion, six hundred twenty-one million, one hundred sixty-six thousand, two hundred twenty-five".