145777563 has 20 divisors (see below), whose sum is σ = 218119440. Its totient is φ = 97027632.

The previous prime is 145777547. The next prime is 145777589. The reversal of 145777563 is 365777541.

145777563 is a `hidden beast` number, since 1 + 4 + 577 + 75 + 6 + 3 = 666.

It is not a de Polignac number, because 145777563 - 2⁴ = 145777547 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145777543) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 70833 + ... + 72861.

It is an arithmetic number, because the mean of its divisors is an integer number (10905972).

Almost surely, 2^145777563 is an apocalyptic number.

145777563 is a deficient number, since it is larger than the sum of its proper divisors (72341877).

145777563 is an equidigital number, since it uses as much as digits as its factorization.

145777563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2919 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 145777563 is about 12073.8379565075. The cubic root of 145777563 is about 526.2961930628.

The spelling of 145777563 in words is "one hundred forty-five million, seven hundred seventy-seven thousand, five hundred sixty-three".