138538296 has 128 divisors (see below), whose sum is σ = 419328000. Its totient is φ = 42125184.

The previous prime is 138538273. The next prime is 138538297. The reversal of 138538296 is 692835831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138538297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288985 + ... + 289463.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^138538296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138538296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

138538296 is an abundant number, since it is smaller than the sum of its proper divisors (280789704).

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

138538296 is a wasteful number, since it uses less digits than its factorization.

138538296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 138538296 is about 11770.2292246158. The cubic root of 138538296 is about 517.4359677127.

The spelling of 138538296 in words is "one hundred thirty-eight million, five hundred thirty-eight thousand, two hundred ninety-six".