138067104 has 120 divisors (see below), whose sum is σ = 423511200. Its totient is φ = 39381888.

The previous prime is 138067043. The next prime is 138067121. The reversal of 138067104 is 401760831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230197 + ... + 230795.

It is an arithmetic number, because the mean of its divisors is an integer number (3529260).

Almost surely, 2^138067104 is an apocalyptic number.

138067104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211755600).

138067104 is an abundant number, since it is smaller than the sum of its proper divisors (285444096).

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

138067104 is an frugal number, since it uses more digits than its factorization.

138067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 138067104 is about 11750.1959132603. The cubic root of 138067104 is about 516.8486725175.

It can be divided in two parts, 13806 and 7104, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 138067104 in words is "one hundred thirty-eight million, sixty-seven thousand, one hundred four".