138401269126848 has 1792 divisors, whose sum is σ = 540388267130880. Its totient is φ = 33726092083200.

The previous prime is 138401269126847. The next prime is 138401269126859. The reversal of 138401269126848 is 848621962104831.

It is a happy number.

138401269126848 is a `hidden beast` number, since 1 + 3 + 8 + 401 + 2 + 69 + 126 + 8 + 48 = 666.

It is a super-2 number, since 2×138401269126848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138401269126847) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101690865688 + ... + 101690867048.

It is an arithmetic number, because the mean of its divisors is an integer number (301555952640).

Almost surely, 2^{138401269126848} is an apocalyptic number.

138401269126848 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 138401269126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270194133565440).

138401269126848 is an abundant number, since it is smaller than the sum of its proper divisors (401986998004032).

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

138401269126848 is a wasteful number, since it uses less digits than its factorization.

138401269126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 138401269126848 in words is "one hundred thirty-eight trillion, four hundred one billion, two hundred sixty-nine million, one hundred twenty-six thousand, eight hundred forty-eight".