138514864 has 40 divisors (see below), whose sum is σ = 287861040. Its totient is φ = 64366848.

The previous prime is 138514853. The next prime is 138514891. The reversal of 138514864 is 468415831.

138514864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 11814 + ... + 20410.

It is an arithmetic number, because the mean of its divisors is an integer number (7196526).

Almost surely, 2^138514864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143930520).

138514864 is an abundant number, since it is smaller than the sum of its proper divisors (149346176).

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

138514864 is a wasteful number, since it uses less digits than its factorization.

138514864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8671 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 138514864 is about 11769.2337898438. The cubic root of 138514864 is about 517.4067934854.

It can be divided in two parts, 13851 and 4864, that multiplied together give a square (67371264 = 8208²).

The spelling of 138514864 in words is "one hundred thirty-eight million, five hundred fourteen thousand, eight hundred sixty-four".