138935095576536 has 128 divisors (see below), whose sum is σ = 401625575769600. Its totient is φ = 39229387760640.

The previous prime is 138935095576531. The next prime is 138935095576601. The reversal of 138935095576536 is 635675590539831.

It is a super-2 number, since 2×138935095576536² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138935095576531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26466286 + ... + 31278338.

It is an arithmetic number, because the mean of its divisors is an integer number (3137699810700).

Almost surely, 2^{138935095576536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138935095576536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200812787884800).

138935095576536 is an abundant number, since it is smaller than the sum of its proper divisors (262690480193064).

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

138935095576536 is a wasteful number, since it uses less digits than its factorization.

138935095576536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814089 (or 4814085 counting only the distinct ones).

The product of its (nonzero) digits is 2755620000, while the sum is 75.

The spelling of 138935095576536 in words is "one hundred thirty-eight trillion, nine hundred thirty-five billion, ninety-five million, five hundred seventy-six thousand, five hundred thirty-six".