1930146154209 has 135 divisors (see below), whose sum is σ = 3526745830803. Its totient is φ = 1016698658976.

The previous prime is 1930146154163. The next prime is 1930146154219. The reversal of 1930146154209 is 9024516410391.

The square root of 1930146154209 is 1389297.

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

1930146154209 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 1 + 4 + 615 + 4 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285524579025 + 1644621575184 = 534345^2 + 1282428^2 .

It is not a de Polignac number, because 1930146154209 - 2¹³ = 1930146146017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1930146154219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2654946204 + ... + 2654946930.

Almost surely, 2^{1930146154209} is an apocalyptic number.

1930146154209 is the 1389297-th square number.

1930146154209 is the 694649-th centered octagonal number.

It is an amenable number.

1930146154209 is a deficient number, since it is larger than the sum of its proper divisors (1596599676594).

1930146154209 is an frugal number, since it uses more digits than its factorization.

1930146154209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1930146154209 in words is "one trillion, nine hundred thirty billion, one hundred forty-six million, one hundred fifty-four thousand, two hundred nine".