138353100900 has 288 divisors, whose sum is σ = 486720847872. Its totient is φ = 29620684800.

The previous prime is 138353100857. The next prime is 138353100901. The reversal of 138353100900 is 9001353831.

It is not an unprimeable number, because it can be changed into a prime (138353100901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7523517 + ... + 7541883.

It is an arithmetic number, because the mean of its divisors is an integer number (1690002944).

Almost surely, 2^138353100900 is an apocalyptic number.

138353100900 is a gapful number since it is divisible by the number (10) 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 138353100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243360423936).

138353100900 is an abundant number, since it is smaller than the sum of its proper divisors (348367746972).

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

138353100900 is a wasteful number, since it uses less digits than its factorization.

138353100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 138353100900 in words is "one hundred thirty-eight billion, three hundred fifty-three million, one hundred thousand, nine hundred".