315102134144 has 128 divisors (see below), whose sum is σ = 734657594880. Its totient is φ = 131803822080.

The previous prime is 315102134141. The next prime is 315102134161. The reversal of 315102134144 is 441431201513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×315102134144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315102134141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74472509 + ... + 74476739.

It is an arithmetic number, because the mean of its divisors is an integer number (5739512460).

Almost surely, 2^315102134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315102134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367328797440).

315102134144 is an abundant number, since it is smaller than the sum of its proper divisors (419555460736).

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

315102134144 is a wasteful number, since it uses less digits than its factorization.

315102134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 315102134144 its reverse (441431201513), we get a palindrome (756533335657).

The spelling of 315102134144 in words is "three hundred fifteen billion, one hundred two million, one hundred thirty-four thousand, one hundred forty-four".