1338128145 has 24 divisors (see below), whose sum is σ = 2340709800. Its totient is φ = 707118336.

The previous prime is 1338128101. The next prime is 1338128167. The reversal of 1338128145 is 5418218331.

1338128145 is a `hidden beast` number, since 1 + 338 + 1 + 281 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112848129 + 1225280016 = 10623^2 + 35004^2 .

It is not a de Polignac number, because 1338128145 - 2⁹ = 1338127633 is a prime.

It is a super-2 number, since 2×1338128145² = 3581173864882282050, which contains 22 as substring.

It is a Curzon number.

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, 131500 + ... + 141309.

It is an arithmetic number, because the mean of its divisors is an integer number (97529575).

Almost surely, 2^1338128145 is an apocalyptic number.

1338128145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338128145 is a deficient number, since it is larger than the sum of its proper divisors (1002581655).

1338128145 is a wasteful number, since it uses less digits than its factorization.

1338128145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272929 (or 272926 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1338128145 is about 36580.4339094003. The cubic root of 1338128145 is about 1101.9601812242.

The spelling of 1338128145 in words is "one billion, three hundred thirty-eight million, one hundred twenty-eight thousand, one hundred forty-five".