1293378144 has 24 divisors (see below), whose sum is σ = 3395117880. Its totient is φ = 431126016.

The previous prime is 1293378137. The next prime is 1293378217. The reversal of 1293378144 is 4418733921.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1293378096 and 1293378105.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6736249 + ... + 6736440.

It is an arithmetic number, because the mean of its divisors is an integer number (141463245).

Almost surely, 2^1293378144 is an apocalyptic number.

It is an amenable number.

1293378144 is an abundant number, since it is smaller than the sum of its proper divisors (2101739736).

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

1293378144 is a wasteful number, since it uses less digits than its factorization.

1293378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472702 (or 13472694 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1293378144 is about 35963.5668976257. The cubic root of 1293378144 is about 1089.5366388966.

The spelling of 1293378144 in words is "one billion, two hundred ninety-three million, three hundred seventy-eight thousand, one hundred forty-four".