252124144500 has 192 divisors, whose sum is σ = 753616281600. Its totient is φ = 65468304000.

The previous prime is 252124144439. The next prime is 252124144507. The reversal of 252124144500 is 5441421252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252124144507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14020515 + ... + 14038485.

It is an arithmetic number, because the mean of its divisors is an integer number (3925084800).

Almost surely, 2^252124144500 is an apocalyptic number.

252124144500 is a gapful number since it is divisible by the number (20) 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 252124144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376808140800).

252124144500 is an abundant number, since it is smaller than the sum of its proper divisors (501492137100).

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

252124144500 is a wasteful number, since it uses less digits than its factorization.

252124144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 252124144500 its reverse (5441421252), we get a palindrome (257565565752).

The spelling of 252124144500 in words is "two hundred fifty-two billion, one hundred twenty-four million, one hundred forty-four thousand, five hundred".