1338047136 has 144 divisors (see below), whose sum is σ = 3982462848. Its totient is φ = 425702400.

The previous prime is 1338047119. The next prime is 1338047171. The reversal of 1338047136 is 6317408331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1338047136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553771 + ... + 556181.

It is an arithmetic number, because the mean of its divisors is an integer number (27655992).

Almost surely, 2^1338047136 is an apocalyptic number.

1338047136 is a gapful number since it is divisible by the number (16) 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 1338047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991231424).

1338047136 is an abundant number, since it is smaller than the sum of its proper divisors (2644415712).

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

1338047136 is a wasteful number, since it uses less digits than its factorization.

1338047136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1338047136 is about 36579.3266203740. The cubic root of 1338047136 is about 1101.9379435698.

It can be divided in two parts, 13380 and 47136, that added together give a square (60516 = 246²).

The spelling of 1338047136 in words is "one billion, three hundred thirty-eight million, forty-seven thousand, one hundred thirty-six".