138102698496 has 320 divisors, whose sum is σ = 444371558400. Its totient is φ = 37259329536.

The previous prime is 138102698491. The next prime is 138102698543. The reversal of 138102698496 is 694896201831.

It is not an unprimeable number, because it can be changed into a prime (138102698491) 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, 19532850 + ... + 19539918.

It is an arithmetic number, because the mean of its divisors is an integer number (1388661120).

Almost surely, 2^138102698496 is an apocalyptic number.

138102698496 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 138102698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222185779200).

138102698496 is an abundant number, since it is smaller than the sum of its proper divisors (306268859904).

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

138102698496 is an equidigital number, since it uses as much as digits as its factorization.

138102698496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 138102698496 in words is "one hundred thirty-eight billion, one hundred two million, six hundred ninety-eight thousand, four hundred ninety-six".