138146221408 has 48 divisors (see below), whose sum is σ = 293173032096. Its totient is φ = 63699609600.

The previous prime is 138146221399. The next prime is 138146221439. The reversal of 138146221408 is 804122641831.

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 7 ways as a sum of consecutive naturals, for example, 286008 + ... + 598408.

It is an arithmetic number, because the mean of its divisors is an integer number (6107771502).

Almost surely, 2^138146221408 is an apocalyptic number.

It is an amenable number.

138146221408 is an abundant number, since it is smaller than the sum of its proper divisors (155026810688).

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

138146221408 is a wasteful number, since it uses less digits than its factorization.

138146221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313487 (or 313479 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 138146221408 in words is "one hundred thirty-eight billion, one hundred forty-six million, two hundred twenty-one thousand, four hundred eight".