315352007152 has 180 divisors, whose sum is σ = 794464347456. Its totient is φ = 120728724480.

The previous prime is 315352007149. The next prime is 315352007209. The reversal of 315352007152 is 251700253513.

It is a super-2 number, since 2×315352007152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4068988 + ... + 4145764.

Almost surely, 2^315352007152 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 315352007152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397232173728).

315352007152 is an abundant number, since it is smaller than the sum of its proper divisors (479112340304).

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

315352007152 is a wasteful number, since it uses less digits than its factorization.

315352007152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76856 (or 76830 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 315352007152 in words is "three hundred fifteen billion, three hundred fifty-two million, seven thousand, one hundred fifty-two".