145084048201 has 9 divisors (see below), whose sum is σ = 145626561703. Its totient is φ = 144543552520.

The previous prime is 145084048171. The next prime is 145084048217. The reversal of 145084048201 is 102840480541.

The square root of 145084048201 is 380899.

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

It can be written as a sum of positive squares in only one way, i.e., 95542191801 + 49541856400 = 309099^2 + 222580^2 .

It is not a de Polignac number, because 145084048201 - 2²⁹ = 144547177289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145084048301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136742211 + ... + 136743271.

Almost surely, 2^145084048201 is an apocalyptic number.

145084048201 is the 380899-th square number.

145084048201 is the 190450-th centered octagonal number.

It is an amenable number.

145084048201 is a deficient number, since it is larger than the sum of its proper divisors (542513502).

145084048201 is an frugal number, since it uses more digits than its factorization.

145084048201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 145084048201 in words is "one hundred forty-five billion, eighty-four million, forty-eight thousand, two hundred one".