1337145385 has 8 divisors (see below), whose sum is σ = 1618774920. Its totient is φ = 1060249344.

The previous prime is 1337145377. The next prime is 1337145431. The reversal of 1337145385 is 5835417331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133888041 + 1203257344 = 11571^2 + 34688^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1337145385 - 2³ = 1337145377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1182750 + ... + 1183879.

It is an arithmetic number, because the mean of its divisors is an integer number (202346865).

Almost surely, 2^1337145385 is an apocalyptic number.

It is an amenable number.

1337145385 is a deficient number, since it is larger than the sum of its proper divisors (281629535).

1337145385 is a wasteful number, since it uses less digits than its factorization.

1337145385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366747.

The product of its digits is 151200, while the sum is 40.

The square root of 1337145385 is about 36566.9985779528. The cubic root of 1337145385 is about 1101.6903446819.

The spelling of 1337145385 in words is "one billion, three hundred thirty-seven million, one hundred forty-five thousand, three hundred eighty-five".