45205209135 has 72 divisors (see below), whose sum is σ = 83363688720. Its totient is φ = 23241193920.

The previous prime is 45205209103. The next prime is 45205209139. The reversal of 45205209135 is 53190250254.

It is a happy number.

45205209135 is a `hidden beast` number, since 45 + 2 + 0 + 520 + 91 + 3 + 5 = 666.

It is not a de Polignac number, because 45205209135 - 2⁵ = 45205209103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45205209135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205209139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71640270 + ... + 71640900.

It is an arithmetic number, because the mean of its divisors is an integer number (1157829010).

Almost surely, 2^45205209135 is an apocalyptic number.

45205209135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45205209135 is a deficient number, since it is larger than the sum of its proper divisors (38158479585).

45205209135 is an frugal number, since it uses more digits than its factorization.

45205209135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 668 counting only the distinct ones).

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

Adding to 45205209135 its reverse (53190250254), we get a palindrome (98395459389).

The spelling of 45205209135 in words is "forty-five billion, two hundred five million, two hundred nine thousand, one hundred thirty-five".