351142134524200 has 48 divisors (see below), whose sum is σ = 817840270525500. Its totient is φ = 140210005163520.

The previous prime is 351142134524171. The next prime is 351142134524239. The reversal of 351142134524200 is 2425431241153.

It can be written as a sum of positive squares in 6 ways, for example, as 1648157845636 + 349493976678564 = 1283806^2 + 18694758^2 .

It is a super-2 number, since 2×351142134524200² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351142134524200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1542689955 + ... + 1542917554.

Almost surely, 2^{351142134524200} is an apocalyptic number.

It is an amenable number.

351142134524200 is an abundant number, since it is smaller than the sum of its proper divisors (466698136001300).

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

351142134524200 is a wasteful number, since it uses less digits than its factorization.

351142134524200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085608094 (or 3085608085 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 351142134524200 its reverse (2425431241153), we get a palindrome (353567565765353).

The spelling of 351142134524200 in words is "three hundred fifty-one trillion, one hundred forty-two billion, one hundred thirty-four million, five hundred twenty-four thousand, two hundred".