146516136228225 has 81 divisors (see below), whose sum is σ = 263125446098697. Its totient is φ = 77934421745280.

The previous prime is 146516136228199. The next prime is 146516136228233. The reversal of 146516136228225 is 522822631615641.

The square root of 146516136228225 is 12104385.

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

146516136228225 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 1 + 6 + 1 + 3 + 622 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15182610941169 + 131333525287056 = 3896487^2 + 11460084^2 .

It is not a de Polignac number, because 146516136228225 - 2³⁷ = 146378697274753 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88422531597 + ... + 88422533253.

Almost surely, 2^{146516136228225} is an apocalyptic number.

146516136228225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146516136228225 is the 12104385-th square number.

146516136228225 is the 6052193-rd centered octagonal number.

It is an amenable number.

146516136228225 is a deficient number, since it is larger than the sum of its proper divisors (116609309870472).

146516136228225 is an frugal number, since it uses more digits than its factorization.

146516136228225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 2152 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 146516136228225 in words is "one hundred forty-six trillion, five hundred sixteen billion, one hundred thirty-six million, two hundred twenty-eight thousand, two hundred twenty-five".