1339629138 has 64 divisors (see below), whose sum is σ = 3225467520. Its totient is φ = 410489856.

The previous prime is 1339629119. The next prime is 1339629139. The reversal of 1339629138 is 8319269331.

1339629138 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 629 + 13 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1339629093 and 1339629102.

It is not an unprimeable number, because it can be changed into a prime (1339629139) 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 31 ways as a sum of consecutive naturals, for example, 22506 + ... + 56442.

It is an arithmetic number, because the mean of its divisors is an integer number (50397930).

Almost surely, 2^1339629138 is an apocalyptic number.

1339629138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339629138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612733760).

1339629138 is an abundant number, since it is smaller than the sum of its proper divisors (1885838382).

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

1339629138 is a wasteful number, since it uses less digits than its factorization.

1339629138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008 (or 34002 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1339629138 is about 36600.9444960099. The cubic root of 1339629138 is about 1102.3720541977.

The spelling of 1339629138 in words is "one billion, three hundred thirty-nine million, six hundred twenty-nine thousand, one hundred thirty-eight".