138000588 has 96 divisors (see below), whose sum is σ = 368831232. Its totient is φ = 39782400.

The previous prime is 138000581. The next prime is 138000659. The reversal of 138000588 is 885000831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138000581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232420 + ... + 233012.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^138000588 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 138000588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

138000588 is an abundant number, since it is smaller than the sum of its proper divisors (230830644).

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

138000588 is a wasteful number, since it uses less digits than its factorization.

138000588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 138000588 is about 11747.3651513861. The cubic root of 138000588 is about 516.7656591913.

The spelling of 138000588 in words is "one hundred thirty-eight million, five hundred eighty-eight", and thus it is an aban number.