145305610605 has 48 divisors (see below), whose sum is σ = 258728259504. Its totient is φ = 75384898560.

The previous prime is 145305610573. The next prime is 145305610607. The reversal of 145305610605 is 506016503541.

145305610605 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 5 + 6 + 10 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15502491081 + 129803119524 = 124509^2 + 360282^2 .

It is not a de Polignac number, because 145305610605 - 2⁵ = 145305610573 is a prime.

It is a super-2 number, since 2×145305610605² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145305610605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145305610607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11383887 + ... + 11396643.

It is an arithmetic number, because the mean of its divisors is an integer number (5390172073).

Almost surely, 2^145305610605 is an apocalyptic number.

145305610605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145305610605 is a deficient number, since it is larger than the sum of its proper divisors (113422648899).

145305610605 is a wasteful number, since it uses less digits than its factorization.

145305610605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19646 (or 19643 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145305610605 in words is "one hundred forty-five billion, three hundred five million, six hundred ten thousand, six hundred five".