252135345141 has 12 divisors (see below), whose sum is σ = 364200976620. Its totient is φ = 168087701760.

The previous prime is 252135345071. The next prime is 252135345151. The reversal of 252135345141 is 141543531252.

252135345141 is a `hidden beast` number, since 2 + 5 + 2 + 135 + 3 + 4 + 514 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9864661041 + 242270684100 = 99321^2 + 492210^2 .

It is not a de Polignac number, because 252135345141 - 2¹¹ = 252135343093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252135345096 and 252135345105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252135345151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575155 + ... + 913823.

It is an arithmetic number, because the mean of its divisors is an integer number (30350081385).

Almost surely, 2^252135345141 is an apocalyptic number.

It is an amenable number.

252135345141 is a deficient number, since it is larger than the sum of its proper divisors (112065631479).

252135345141 is a wasteful number, since it uses less digits than its factorization.

252135345141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421396 (or 421393 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 252135345141 its reverse (141543531252), we get a palindrome (393678876393).

The spelling of 252135345141 in words is "two hundred fifty-two billion, one hundred thirty-five million, three hundred forty-five thousand, one hundred forty-one".