138122515440 has 1600 divisors, whose sum is σ = 628857250560. Its totient is φ = 27311800320.

The previous prime is 138122515417. The next prime is 138122515451. The reversal of 138122515440 is 44515221831.

138122515440 is a `hidden beast` number, since 1 + 3 + 81 + 22 + 515 + 4 + 40 = 666.

It is a super-3 number, since 3×138122515440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138122515395 and 138122515404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 701129422 + ... + 701129618.

Almost surely, 2^138122515440 is an apocalyptic number.

138122515440 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 138122515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314428625280).

138122515440 is an abundant number, since it is smaller than the sum of its proper divisors (490734735120).

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

138122515440 is a wasteful number, since it uses less digits than its factorization.

138122515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

It can be divided in two parts, 13812 and 2515440, that added together give a palindrome (2529252).

The spelling of 138122515440 in words is "one hundred thirty-eight billion, one hundred twenty-two million, five hundred fifteen thousand, four hundred forty".