138098733120 has 336 divisors, whose sum is σ = 493328309760. Its totient is φ = 35415625728.

The previous prime is 138098733041. The next prime is 138098733121. The reversal of 138098733120 is 21337890831.

It is a happy number.

It is a super-3 number, since 3×138098733120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138098733121) 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 47 ways as a sum of consecutive naturals, for example, 21962617 + ... + 21968903.

Almost surely, 2^138098733120 is an apocalyptic number.

138098733120 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 138098733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246664154880).

138098733120 is an abundant number, since it is smaller than the sum of its proper divisors (355229576640).

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

138098733120 is a wasteful number, since it uses less digits than its factorization.

138098733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138098733120 in words is "one hundred thirty-eight billion, ninety-eight million, seven hundred thirty-three thousand, one hundred twenty".