382839001137 has 12 divisors (see below), whose sum is σ = 553221172660. Its totient is φ = 255119152608.

The previous prime is 382839001123. The next prime is 382839001141. The reversal of 382839001137 is 731100938283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153382672881 + 229456328256 = 391641^2 + 479016^2 .

It is not a de Polignac number, because 382839001137 - 2¹⁴ = 382838984753 is a prime.

It is a super-3 number, since 3×382839001137³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 382839001092 and 382839001101.

It is not an unprimeable number, because it can be changed into a prime (382839001837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8881318 + ... + 8924319.

Almost surely, 2^382839001137 is an apocalyptic number.

It is an amenable number.

382839001137 is a deficient number, since it is larger than the sum of its proper divisors (170382171523).

382839001137 is a wasteful number, since it uses less digits than its factorization.

382839001137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17808032 (or 17808029 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 382839001137 in words is "three hundred eighty-two billion, eight hundred thirty-nine million, one thousand, one hundred thirty-seven".