138518064 has 60 divisors (see below), whose sum is σ = 388795056. Its totient is φ = 46037376.

The previous prime is 138518063. The next prime is 138518077. The reversal of 138518064 is 460815831.

138518064 is a `hidden beast` number, since 138 + 518 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138518063) 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, 55957 + ... + 58379.

Almost surely, 2^138518064 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 138518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194397528).

138518064 is an abundant number, since it is smaller than the sum of its proper divisors (250276992).

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

138518064 is a wasteful number, since it uses less digits than its factorization.

138518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138518064 is about 11769.3697367361. The cubic root of 138518064 is about 517.4107778688.

The spelling of 138518064 in words is "one hundred thirty-eight million, five hundred eighteen thousand, sixty-four".