252434155144600 has 192 divisors, whose sum is σ = 689533220486880. Its totient is φ = 84731020800000.

The previous prime is 252434155144531. The next prime is 252434155144631. The reversal of 252434155144600 is 6441551434252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495724220 + ... + 1495892980.

Almost surely, 2^{252434155144600} is an apocalyptic number.

252434155144600 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 252434155144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344766610243440).

252434155144600 is an abundant number, since it is smaller than the sum of its proper divisors (437099065342280).

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

252434155144600 is a wasteful number, since it uses less digits than its factorization.

252434155144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221102 (or 221093 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 252434155144600 in words is "two hundred fifty-two trillion, four hundred thirty-four billion, one hundred fifty-five million, one hundred forty-four thousand, six hundred".