138846906 has 64 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 40241520.

The previous prime is 138846901. The next prime is 138846907. The reversal of 138846906 is 609648831.

It is not an unprimeable number, because it can be changed into a prime (138846901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8581 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^138846906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138846906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

138846906 is an abundant number, since it is smaller than the sum of its proper divisors (212420934).

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

138846906 is a wasteful number, since it uses less digits than its factorization.

138846906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138846906 is about 11783.3317020272. The cubic root of 138846906 is about 517.8198988283.

The spelling of 138846906 in words is "one hundred thirty-eight million, eight hundred forty-six thousand, nine hundred six".