1337280945 has 256 divisors, whose sum is σ = 3158507520. Its totient is φ = 467251200.

The previous prime is 1337280943. The next prime is 1337280983. The reversal of 1337280945 is 5490827331.

It is not a de Polignac number, because 1337280945 - 2¹ = 1337280943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1337280897 and 1337280906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337280943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43138080 + ... + 43138110.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^1337280945 is an apocalyptic number.

1337280945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1337280945 is an abundant number, since it is smaller than the sum of its proper divisors (1821226575).

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

1337280945 is a wasteful number, since it uses less digits than its factorization.

1337280945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1337280945 is about 36568.8521148805. The cubic root of 1337280945 is about 1101.7275732681.

It can be divided in two parts, 1337 and 280945, that added together give a palindrome (282282).

The spelling of 1337280945 in words is "one billion, three hundred thirty-seven million, two hundred eighty thousand, nine hundred forty-five".