138093696 has 96 divisors (see below), whose sum is σ = 427993020. Its totient is φ = 42485760.

The previous prime is 138093677. The next prime is 138093701. The reversal of 138093696 is 696390831.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 360000 = 11736^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10366 + ... + 19586.

Almost surely, 2^138093696 is an apocalyptic number.

138093696 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 138093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213996510).

138093696 is an abundant number, since it is smaller than the sum of its proper divisors (289899324).

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

138093696 is a wasteful number, since it uses less digits than its factorization.

138093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 138093696 is about 11751.3274143817. The cubic root of 138093696 is about 516.8818524163.

The spelling of 138093696 in words is "one hundred thirty-eight million, ninety-three thousand, six hundred ninety-six".