1315147660200 has 768 divisors, whose sum is σ = 5081674752000. Its totient is φ = 309858048000.

The previous prime is 1315147660117. The next prime is 1315147660213. The reversal of 1315147660200 is 20667415131.

1315147660200 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 47 + 6 + 602 + 0 + 0 = 666.

It is a super-2 number, since 2×1315147660200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 747666921 + ... + 747668679.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764000).

Almost surely, 2^{1315147660200} is an apocalyptic number.

1315147660200 is a gapful number since it is divisible by the number (10) 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 1315147660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540837376000).

1315147660200 is an abundant number, since it is smaller than the sum of its proper divisors (3766527091800).

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

1315147660200 is a wasteful number, since it uses less digits than its factorization.

1315147660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1315147660200 in words is "one trillion, three hundred fifteen billion, one hundred forty-seven million, six hundred sixty thousand, two hundred".