138114192 has 80 divisors (see below), whose sum is σ = 385818560. Its totient is φ = 42425856.

The previous prime is 138114181. The next prime is 138114233. The reversal of 138114192 is 291411831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31698 + ... + 35790.

It is an arithmetic number, because the mean of its divisors is an integer number (4822732).

Almost surely, 2^138114192 is an apocalyptic number.

138114192 is a gapful number since it is divisible by the number (12) 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 138114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192909280).

138114192 is an abundant number, since it is smaller than the sum of its proper divisors (247704368).

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

138114192 is a wasteful number, since it uses less digits than its factorization.

138114192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4154 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 138114192 is about 11752.1994537193. The cubic root of 138114192 is about 516.9074231861.

The spelling of 138114192 in words is "one hundred thirty-eight million, one hundred fourteen thousand, one hundred ninety-two".