1338747144 has 128 divisors (see below), whose sum is σ = 4263321600. Its totient is φ = 341038080.

The previous prime is 1338747143. The next prime is 1338747191. The reversal of 1338747144 is 4417478331.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1338747096 and 1338747105.

It is not an unprimeable number, because it can be changed into a prime (1338747143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41929 + ... + 66599.

It is an arithmetic number, because the mean of its divisors is an integer number (33307200).

Almost surely, 2^1338747144 is an apocalyptic number.

1338747144 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 1338747144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131660800).

1338747144 is an abundant number, since it is smaller than the sum of its proper divisors (2924574456).

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

1338747144 is a wasteful number, since it uses less digits than its factorization.

1338747144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24723 (or 24719 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 1338747144 is about 36588.8937247357. The cubic root of 1338747144 is about 1102.1300720530.

The spelling of 1338747144 in words is "one billion, three hundred thirty-eight million, seven hundred forty-seven thousand, one hundred forty-four".