1275684144 has 160 divisors (see below), whose sum is σ = 3949461504. Its totient is φ = 346917120.

The previous prime is 1275684143. The next prime is 1275684173. The reversal of 1275684144 is 4414865721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1275684096 and 1275684105.

It is not an unprimeable number, because it can be changed into a prime (1275684143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2959609 + ... + 2960039.

Almost surely, 2^1275684144 is an apocalyptic number.

1275684144 is a gapful number since it is divisible by the number (14) 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 1275684144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974730752).

1275684144 is an abundant number, since it is smaller than the sum of its proper divisors (2673777360).

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

1275684144 is a wasteful number, since it uses less digits than its factorization.

1275684144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 1275684144 is about 35716.7207901285. The cubic root of 1275684144 is about 1084.5453563203.

The spelling of 1275684144 in words is "one billion, two hundred seventy-five million, six hundred eighty-four thousand, one hundred forty-four".