146371282225 has 81 divisors (see below), whose sum is σ = 224632615617. Its totient is φ = 94317914880.

The previous prime is 146371282199. The next prime is 146371282231. The reversal of 146371282225 is 522282173641.

The square root of 146371282225 is 382585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3423771169 + 142947511056 = 58513^2 + 378084^2 .

It is not a de Polignac number, because 146371282225 - 2¹³ = 146371274033 is a prime.

It is a Duffinian number.

Its product of digits (322560) is a multiple of the sum of its prime divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 227637754 + ... + 227638396.

Almost surely, 2^146371282225 is an apocalyptic number.

146371282225 is the 382585-th square number.

146371282225 is the 191293-rd centered octagonal number.

It is an amenable number.

146371282225 is a deficient number, since it is larger than the sum of its proper divisors (78261333392).

146371282225 is an frugal number, since it uses more digits than its factorization.

146371282225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The spelling of 146371282225 in words is "one hundred forty-six billion, three hundred seventy-one million, two hundred eighty-two thousand, two hundred twenty-five".