315351145200 has 480 divisors, whose sum is σ = 1244942318592. Its totient is φ = 66447360000.

The previous prime is 315351145177. The next prime is 315351145217. The reversal of 315351145200 is 2541153513.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112583800 + ... + 112586600.

Almost surely, 2^315351145200 is an apocalyptic number.

315351145200 is a gapful number since it is divisible by the number (30) 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 315351145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622471159296).

315351145200 is an abundant number, since it is smaller than the sum of its proper divisors (929591173392).

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

315351145200 is a wasteful number, since it uses less digits than its factorization.

315351145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 315351145200 its reverse (2541153513), we get a palindrome (317892298713).

The spelling of 315351145200 in words is "three hundred fifteen billion, three hundred fifty-one million, one hundred forty-five thousand, two hundred".