138958314 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 40098240.

The previous prime is 138958297. The next prime is 138958319. The reversal of 138958314 is 413859831.

It is not an unprimeable number, because it can be changed into a prime (138958319) 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, 150747 + ... + 151665.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2^138958314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138958314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

138958314 is an abundant number, since it is smaller than the sum of its proper divisors (178993686).

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

138958314 is a wasteful number, since it uses less digits than its factorization.

138958314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043.

The product of its digits is 103680, while the sum is 42.

The square root of 138958314 is about 11788.0581097991. The cubic root of 138958314 is about 517.9583579371.

The spelling of 138958314 in words is "one hundred thirty-eight million, nine hundred fifty-eight thousand, three hundred fourteen".