138125707140 has 192 divisors, whose sum is σ = 418952298240. Its totient is φ = 33883453440.

The previous prime is 138125707117. The next prime is 138125707219. The reversal of 138125707140 is 41707521831.

It is a happy number.

It is a super-3 number, since 3×138125707140³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22816354 + ... + 22822406.

It is an arithmetic number, because the mean of its divisors is an integer number (2182043220).

Almost surely, 2^138125707140 is an apocalyptic number.

138125707140 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 138125707140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209476149120).

138125707140 is an abundant number, since it is smaller than the sum of its proper divisors (280826591100).

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

138125707140 is a wasteful number, since it uses less digits than its factorization.

138125707140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 138125707140 in words is "one hundred thirty-eight billion, one hundred twenty-five million, seven hundred seven thousand, one hundred forty".