1337205345 has 48 divisors (see below), whose sum is σ = 2556157248. Its totient is φ = 594760320.

The previous prime is 1337205293. The next prime is 1337205361. The reversal of 1337205345 is 5435027331.

It is not a de Polignac number, because 1337205345 - 2¹⁰ = 1337204321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2610 + ... + 51780.

It is an arithmetic number, because the mean of its divisors is an integer number (53253276).

Almost surely, 2^1337205345 is an apocalyptic number.

1337205345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1337205345 is a deficient number, since it is larger than the sum of its proper divisors (1218951903).

1337205345 is a wasteful number, since it uses less digits than its factorization.

1337205345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49230 (or 49223 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 1337205345 is about 36567.8184336993. The cubic root of 1337205345 is about 1101.7068116935.

The spelling of 1337205345 in words is "one billion, three hundred thirty-seven million, two hundred five thousand, three hundred forty-five".