138529488240 has 480 divisors, whose sum is σ = 558210272256. Its totient is φ = 30338979840.

The previous prime is 138529488211. The next prime is 138529488299. The reversal of 138529488240 is 42884925831.

138529488240 is a `hidden beast` number, since 1 + 38 + 5 + 294 + 88 + 240 = 666.

It is a super-2 number, since 2×138529488240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4824807 + ... + 4853433.

Almost surely, 2^138529488240 is an apocalyptic number.

138529488240 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 138529488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279105136128).

138529488240 is an abundant number, since it is smaller than the sum of its proper divisors (419680784016).

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

138529488240 is a wasteful number, since it uses less digits than its factorization.

138529488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28717 (or 28708 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 138529488240 in words is "one hundred thirty-eight billion, five hundred twenty-nine million, four hundred eighty-eight thousand, two hundred forty".