138077060413248 has 378 divisors, whose sum is σ = 449509075579746. Its totient is φ = 40491786931200.

The previous prime is 138077060413241. The next prime is 138077060413249. The reversal of 138077060413248 is 842314060770831.

138077060413248 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 7 + 0 + 604 + 1 + 3 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90592171712064 + 47484888701184 = 9517992^2 + 6890928^2 .

It is a super-3 number, since 3×138077060413248³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 138077060413194 and 138077060413203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138077060413241) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 65947090 + ... + 68008622.

Almost surely, 2^{138077060413248} is an apocalyptic number.

138077060413248 is a gapful number since it is divisible by the number (18) 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 138077060413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224754537789873).

138077060413248 is an abundant number, since it is smaller than the sum of its proper divisors (311432015166498).

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

138077060413248 is a wasteful number, since it uses less digits than its factorization.

138077060413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061635 (or 2061580 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 138077060413248 in words is "one hundred thirty-eight trillion, seventy-seven billion, sixty million, four hundred thirteen thousand, two hundred forty-eight".