138015520146 has 48 divisors (see below), whose sum is σ = 343523516544. Its totient is φ = 39228682752.

The previous prime is 138015520121. The next prime is 138015520151. The reversal of 138015520146 is 641025510831.

138015520146 is a `hidden beast` number, since 1 + 3 + 80 + 15 + 520 + 1 + 46 = 666.

138015520146 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138015520146² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138015520146.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2813406 + ... + 2862041.

It is an arithmetic number, because the mean of its divisors is an integer number (7156739928).

Almost surely, 2^138015520146 is an apocalyptic number.

138015520146 is an abundant number, since it is smaller than the sum of its proper divisors (205507996398).

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

138015520146 is a wasteful number, since it uses less digits than its factorization.

138015520146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675655 (or 5675652 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 1380155 and 20146, that added together give a triangular number (1400301 = T₁₆₇₃).

The spelling of 138015520146 in words is "one hundred thirty-eight billion, fifteen million, five hundred twenty thousand, one hundred forty-six".