1275138184320 has 1536 divisors, whose sum is σ = 6131715932160. Its totient is φ = 244552089600.

The previous prime is 1275138184289. The next prime is 1275138184339. The reversal of 1275138184320 is 234818315721.

1275138184320 is a `hidden beast` number, since 1 + 2 + 75 + 138 + 18 + 432 + 0 = 666.

It is a super-2 number, since 2×1275138184320² (a number of 25 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155671425 + ... + 155679615.

It is an arithmetic number, because the mean of its divisors is an integer number (3992002560).

Almost surely, 2^{1275138184320} is an apocalyptic number.

1275138184320 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 1275138184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065857966080).

1275138184320 is an abundant number, since it is smaller than the sum of its proper divisors (4856577747840).

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

1275138184320 is a wasteful number, since it uses less digits than its factorization.

1275138184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1275138184320 in words is "one trillion, two hundred seventy-five billion, one hundred thirty-eight million, one hundred eighty-four thousand, three hundred twenty".