146185002308601 has 45 divisors (see below), whose sum is σ = 218963683886079. Its totient is φ = 97194711121200.

The previous prime is 146185002308599. The next prime is 146185002308641. The reversal of 146185002308601 is 106803200581641.

The square root of 146185002308601 is 12090699.

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

146185002308601 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 8 + 5 + 0 + 0 + 2 + 30 + 8 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 693640788201 + 145491361520400 = 832851^2 + 12061980^2 .

It is not a de Polignac number, because 146185002308601 - 2¹ = 146185002308599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146185002308641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45811656916 + ... + 45811660106.

Almost surely, 2^{146185002308601} is an apocalyptic number.

146185002308601 is the 12090699-th square number.

146185002308601 is the 6045350-th centered octagonal number.

It is an amenable number.

146185002308601 is a deficient number, since it is larger than the sum of its proper divisors (72778681577478).

146185002308601 is an frugal number, since it uses more digits than its factorization.

146185002308601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 146185002308601 in words is "one hundred forty-six trillion, one hundred eighty-five billion, two million, three hundred eight thousand, six hundred one".