138069509760 has 384 divisors, whose sum is σ = 586797644160. Its totient is φ = 29131038720.

The previous prime is 138069509759. The next prime is 138069509761. The reversal of 138069509760 is 67905960831.

138069509760 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 69 + 509 + 76 + 0 = 666.

138069509760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138069509759) and next prime (138069509761).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 138069509697 and 138069509706.

It is not an unprimeable number, because it can be changed into a prime (138069509761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392455 + ... + 655865.

It is an arithmetic number, because the mean of its divisors is an integer number (1528118865).

Almost surely, 2^138069509760 is an apocalyptic number.

138069509760 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 138069509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293398822080).

138069509760 is an abundant number, since it is smaller than the sum of its proper divisors (448728134400).

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

138069509760 is a wasteful number, since it uses less digits than its factorization.

138069509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263456 (or 263441 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 138069509760 in words is "one hundred thirty-eight billion, sixty-nine million, five hundred nine thousand, seven hundred sixty".