138138262778880 has 1056 divisors, whose sum is σ = 589634551554048. Its totient is φ = 29119315968000.

The previous prime is 138138262778809. The next prime is 138138262778903. The reversal of 138138262778880 is 88877262831831.

138138262778880 is a `hidden beast` number, since 1 + 3 + 81 + 382 + 6 + 27 + 78 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138138262778799 and 138138262778808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4826450970 + ... + 4826479590.

It is an arithmetic number, because the mean of its divisors is an integer number (558366052608).

Almost surely, 2^{138138262778880} is an apocalyptic number.

138138262778880 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 138138262778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294817275777024).

138138262778880 is an abundant number, since it is smaller than the sum of its proper divisors (451496288775168).

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

138138262778880 is a wasteful number, since it uses less digits than its factorization.

138138262778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29823 (or 29802 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 138138262778880 in words is "one hundred thirty-eight trillion, one hundred thirty-eight billion, two hundred sixty-two million, seven hundred seventy-eight thousand, eight hundred eighty".