252134503104 has 224 divisors, whose sum is σ = 735293180160. Its totient is φ = 76245565440.

The previous prime is 252134503087. The next prime is 252134503151. The reversal of 252134503104 is 401305431252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196518847 + ... + 196520129.

It is an arithmetic number, because the mean of its divisors is an integer number (3282558840).

Almost surely, 2^252134503104 is an apocalyptic number.

252134503104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252134503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367646590080).

252134503104 is an abundant number, since it is smaller than the sum of its proper divisors (483158677056).

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

252134503104 is a wasteful number, since it uses less digits than its factorization.

252134503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 252134503104 its reverse (401305431252), we get a palindrome (653439934356).

The spelling of 252134503104 in words is "two hundred fifty-two billion, one hundred thirty-four million, five hundred three thousand, one hundred four".