138532632160 has 192 divisors, whose sum is σ = 376341977088. Its totient is φ = 47788038144.

The previous prime is 138532632151. The next prime is 138532632247. The reversal of 138532632160 is 61236235831.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 2023449 + ... + 2090791.

It is an arithmetic number, because the mean of its divisors is an integer number (1960114464).

Almost surely, 2^138532632160 is an apocalyptic number.

138532632160 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 138532632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188170988544).

138532632160 is an abundant number, since it is smaller than the sum of its proper divisors (237809344928).

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

138532632160 is a wasteful number, since it uses less digits than its factorization.

138532632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67437 (or 67429 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 138532632160 its reverse (61236235831), we get a palindrome (199768867991).

The spelling of 138532632160 in words is "one hundred thirty-eight billion, five hundred thirty-two million, six hundred thirty-two thousand, one hundred sixty".