1378133824 has 56 divisors (see below), whose sum is σ = 2835691560. Its totient is φ = 663742464.

The previous prime is 1378133797. The next prime is 1378133837. The reversal of 1378133824 is 4283318731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 164865600 + 1213268224 = 12840^2 + 34832^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1359942 + ... + 1360954.

Almost surely, 2^1378133824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417845780).

1378133824 is an abundant number, since it is smaller than the sum of its proper divisors (1457557736).

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

1378133824 is a wasteful number, since it uses less digits than its factorization.

1378133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1777 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 1378133824 is about 37123.2248599175. The cubic root of 1378133824 is about 1112.8341997086.

The spelling of 1378133824 in words is "one billion, three hundred seventy-eight million, one hundred thirty-three thousand, eight hundred twenty-four".