252405146200 has 192 divisors, whose sum is σ = 601633992960. Its totient is φ = 98460126720.

The previous prime is 252405146177. The next prime is 252405146237. The reversal of 252405146200 is 2641504252.

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, 676689214 + ... + 676689586.

It is an arithmetic number, because the mean of its divisors is an integer number (3133510380).

Almost surely, 2^252405146200 is an apocalyptic number.

252405146200 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 252405146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300816996480).

252405146200 is an abundant number, since it is smaller than the sum of its proper divisors (349228846760).

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

252405146200 is a wasteful number, since it uses less digits than its factorization.

252405146200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 252405146200 in words is "two hundred fifty-two billion, four hundred five million, one hundred forty-six thousand, two hundred".