138983009760 has 384 divisors, whose sum is σ = 564237757440. Its totient is φ = 31292946432.

The previous prime is 138983009749. The next prime is 138983009779. The reversal of 138983009760 is 67900389831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138983009697 and 138983009706.

It is a congruent number.

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, 1991782 + ... + 2060378.

It is an arithmetic number, because the mean of its divisors is an integer number (1469369160).

Almost surely, 2^138983009760 is an apocalyptic number.

138983009760 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 138983009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282118878720).

138983009760 is an abundant number, since it is smaller than the sum of its proper divisors (425254747680).

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

138983009760 is a wasteful number, since it uses less digits than its factorization.

138983009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68695 (or 68681 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 138983009760 in words is "one hundred thirty-eight billion, nine hundred eighty-three million, nine thousand, seven hundred sixty".