138245121488 has 80 divisors (see below), whose sum is σ = 289226726400. Its totient is φ = 63825822720.

The previous prime is 138245121481. The next prime is 138245121517. The reversal of 138245121488 is 884121542831.

It is a super-2 number, since 2×138245121488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138245121481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4651058 + ... + 4680686.

It is an arithmetic number, because the mean of its divisors is an integer number (3615334080).

Almost surely, 2^138245121488 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 138245121488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144613363200).

138245121488 is an abundant number, since it is smaller than the sum of its proper divisors (150981604912).

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

138245121488 is a wasteful number, since it uses less digits than its factorization.

138245121488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30100 (or 30094 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The spelling of 138245121488 in words is "one hundred thirty-eight billion, two hundred forty-five million, one hundred twenty-one thousand, four hundred eighty-eight".