252106137 has 6 divisors (see below), whose sum is σ = 364153322. Its totient is φ = 168070752.

The previous prime is 252106097. The next prime is 252106139. The reversal of 252106137 is 731601252.

It is a happy number.

252106137 is a `hidden beast` number, since 2 + 521 + 0 + 6 + 137 = 666.

It can be written as a sum of positive squares in only one way, i.e., 214944921 + 37161216 = 14661^2 + 6096^2 .

It is not a de Polignac number, because 252106137 - 2⁷ = 252106009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252106137.

It is not an unprimeable number, because it can be changed into a prime (252106139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14005888 + ... + 14005905.

Almost surely, 2^252106137 is an apocalyptic number.

It is an amenable number.

252106137 is a deficient number, since it is larger than the sum of its proper divisors (112047185).

252106137 is a wasteful number, since it uses less digits than its factorization.

252106137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28011799 (or 28011796 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 252106137 is about 15877.8505157342. The cubic root of 252106137 is about 631.7246244960.

Adding to 252106137 its reverse (731601252), we get a palindrome (983707389).

The spelling of 252106137 in words is "two hundred fifty-two million, one hundred six thousand, one hundred thirty-seven".