138096576 has 140 divisors (see below), whose sum is σ = 433718208. Its totient is φ = 43296768.

The previous prime is 138096571. The next prime is 138096589. The reversal of 138096576 is 675690831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138096571) 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 19 ways as a sum of consecutive naturals, for example, 87345 + ... + 88911.

Almost surely, 2^138096576 is an apocalyptic number.

138096576 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 138096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216859104).

138096576 is an abundant number, since it is smaller than the sum of its proper divisors (295621632).

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

138096576 is a wasteful number, since it uses less digits than its factorization.

138096576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 138096576 is about 11751.4499530909. The cubic root of 138096576 is about 516.8854456515.

The spelling of 138096576 in words is "one hundred thirty-eight million, ninety-six thousand, five hundred seventy-six".