1338255765 has 72 divisors (see below), whose sum is σ = 2914015104. Its totient is φ = 556142400.

The previous prime is 1338255749. The next prime is 1338255791. The reversal of 1338255765 is 5675528331.

1338255765 is a `hidden beast` number, since 1 + 3 + 38 + 2 + 557 + 65 = 666.

It is not a de Polignac number, because 1338255765 - 2⁴ = 1338255749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1338255765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20560 + ... + 55670.

It is an arithmetic number, because the mean of its divisors is an integer number (40472432).

Almost surely, 2^1338255765 is an apocalyptic number.

1338255765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338255765 is an abundant number, since it is smaller than the sum of its proper divisors (1575759339).

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

1338255765 is a wasteful number, since it uses less digits than its factorization.

1338255765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35151 (or 35137 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 1338255765 is about 36582.1782429642. The cubic root of 1338255765 is about 1101.9952121711.

The spelling of 1338255765 in words is "one billion, three hundred thirty-eight million, two hundred fifty-five thousand, seven hundred sixty-five".