138510236160 has 240 divisors, whose sum is σ = 496243673640. Its totient is φ = 35662233600.

The previous prime is 138510236159. The next prime is 138510236171. The reversal of 138510236160 is 61632015831.

138510236160 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 10 + 23 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74254070016 + 64256166144 = 272496^2 + 253488^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 23 ways as a sum of consecutive naturals, for example, 564510 + ... + 771810.

Almost surely, 2^138510236160 is an apocalyptic number.

138510236160 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 138510236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248121836820).

138510236160 is an abundant number, since it is smaller than the sum of its proper divisors (357733437480).

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

138510236160 is a wasteful number, since it uses less digits than its factorization.

138510236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207359 (or 207340 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 138510236160 in words is "one hundred thirty-eight billion, five hundred ten million, two hundred thirty-six thousand, one hundred sixty".