138875013750 has 320 divisors, whose sum is σ = 409413945600. Its totient is φ = 31026240000.

The previous prime is 138875013721. The next prime is 138875013751. The reversal of 138875013750 is 57310578831.

It is a self number, because there is not a number n which added to its sum of digits gives 138875013750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138875013751) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28996356 + ... + 29001144.

It is an arithmetic number, because the mean of its divisors is an integer number (1279418580).

Almost surely, 2^138875013750 is an apocalyptic number.

138875013750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138875013750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204706972800).

138875013750 is an abundant number, since it is smaller than the sum of its proper divisors (270538931850).

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

138875013750 is a wasteful number, since it uses less digits than its factorization.

138875013750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 138875013750 in words is "one hundred thirty-eight billion, eight hundred seventy-five million, thirteen thousand, seven hundred fifty".