1315137669120 has 1920 divisors, whose sum is σ = 5573961993600. Its totient is φ = 293024563200.

The previous prime is 1315137669119. The next prime is 1315137669143. The reversal of 1315137669120 is 219667315131.

1315137669120 is a `hidden beast` number, since 1 + 3 + 1 + 513 + 7 + 6 + 6 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9461422011 + ... + 9461422149.

It is an arithmetic number, because the mean of its divisors is an integer number (2903105205).

Almost surely, 2^{1315137669120} is an apocalyptic number.

1315137669120 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 1315137669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786980996800).

1315137669120 is an abundant number, since it is smaller than the sum of its proper divisors (4258824324480).

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

1315137669120 is a wasteful number, since it uses less digits than its factorization.

1315137669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

It can be divided in two parts, 13151376 and 69120, that added together give a square (13220496 = 3636²).

The spelling of 1315137669120 in words is "one trillion, three hundred fifteen billion, one hundred thirty-seven million, six hundred sixty-nine thousand, one hundred twenty".