146505520161 has 144 divisors (see below), whose sum is σ = 293423195520. Its totient is φ = 68351662080.

The previous prime is 146505520127. The next prime is 146505520219. The reversal of 146505520161 is 161025505641.

146505520161 is a `hidden beast` number, since 1 + 46 + 5 + 0 + 552 + 0 + 1 + 61 = 666.

It is not a de Polignac number, because 146505520161 - 2¹⁵ = 146505487393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146505520261) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4316425 + ... + 4350233.

It is an arithmetic number, because the mean of its divisors is an integer number (2037661080).

Almost surely, 2^146505520161 is an apocalyptic number.

146505520161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146505520161 is an abundant number, since it is smaller than the sum of its proper divisors (146917675359).

146505520161 is a wasteful number, since it uses less digits than its factorization.

146505520161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33896 (or 33880 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 146505 and 520161, that added together give a palindrome (666666).

The spelling of 146505520161 in words is "one hundred forty-six billion, five hundred five million, five hundred twenty thousand, one hundred sixty-one".