315141335145 has 96 divisors (see below), whose sum is σ = 672794304000. Its totient is φ = 132885245952.

The previous prime is 315141335057. The next prime is 315141335191. The reversal of 315141335145 is 541533141513.

315141335145 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 4 + 133 + 514 + 5 = 666.

It is not a de Polignac number, because 315141335145 - 2⁸ = 315141334889 is a prime.

It is a super-2 number, since 2×315141335145² (a number of 24 digits) contains 22 as substring.

It is a Curzon 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, 5701401 + ... + 5756409.

It is an arithmetic number, because the mean of its divisors is an integer number (7008274000).

Almost surely, 2^315141335145 is an apocalyptic number.

315141335145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315141335145 is an abundant number, since it is smaller than the sum of its proper divisors (357652968855).

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

315141335145 is a wasteful number, since it uses less digits than its factorization.

315141335145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56439 (or 56436 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 315141335145 its reverse (541533141513), we get a palindrome (856674476658).

The spelling of 315141335145 in words is "three hundred fifteen billion, one hundred forty-one million, three hundred thirty-five thousand, one hundred forty-five".