252129348 has 60 divisors (see below), whose sum is σ = 669973612. Its totient is φ = 82658880.

The previous prime is 252129341. The next prime is 252129379. The reversal of 252129348 is 843921252.

It is a happy number.

252129348 is a `hidden beast` number, since 2 + 521 + 2 + 93 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 189117504 = 7938^2 + 13752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252129341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13386 + ... + 26142.

Almost surely, 2^252129348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252129348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334986806).

252129348 is an abundant number, since it is smaller than the sum of its proper divisors (417844264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252129348 is a wasteful number, since it uses less digits than its factorization.

252129348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12823 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 252129348 is about 15878.5814227846. The cubic root of 252129348 is about 631.7440111856.

It can be divided in two parts, 252 and 129348, that added together give a square (129600 = 360²).

The spelling of 252129348 in words is "two hundred fifty-two million, one hundred twenty-nine thousand, three hundred forty-eight".