138012512 has 48 divisors (see below), whose sum is σ = 309318912. Its totient is φ = 60001920.

The previous prime is 138012509. The next prime is 138012521. The reversal of 138012512 is 215210831.

It is a happy number.

138012512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 428 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (6444144).

Almost surely, 2^138012512 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 138012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154659456).

138012512 is an abundant number, since it is smaller than the sum of its proper divisors (171306400).

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

138012512 is a wasteful number, since it uses less digits than its factorization.

138012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 138012512 is about 11747.8726584859. The cubic root of 138012512 is about 516.7805425488.

The spelling of 138012512 in words is "one hundred thirty-eight million, twelve thousand, five hundred twelve".