138084096 has 72 divisors (see below), whose sum is σ = 386888320. Its totient is φ = 43600896.

The previous prime is 138084061. The next prime is 138084101. The reversal of 138084096 is 690480831.

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, 9861 + ... + 19323.

Almost surely, 2^138084096 is an apocalyptic number.

138084096 is a gapful number since it is divisible by the number (16) 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 138084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193444160).

138084096 is an abundant number, since it is smaller than the sum of its proper divisors (248804224).

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

138084096 is an equidigital number, since it uses as much as digits as its factorization.

138084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9501 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 138084096 is about 11750.9189427891. The cubic root of 138084096 is about 516.8698746048.

The spelling of 138084096 in words is "one hundred thirty-eight million, eighty-four thousand, ninety-six".