138027049920 has 112 divisors (see below), whose sum is σ = 486928789920. Its totient is φ = 36807211008.

The previous prime is 138027049891. The next prime is 138027049957. The reversal of 138027049920 is 29940720831.

138027049920 is a `hidden beast` number, since 13 + 80 + 2 + 70 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979037 + ... + 7996316.

Almost surely, 2^138027049920 is an apocalyptic number.

138027049920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138027049920 is an abundant number, since it is smaller than the sum of its proper divisors (348901740000).

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

138027049920 is a wasteful number, since it uses less digits than its factorization.

138027049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975379 (or 15975363 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138027049920 in words is "one hundred thirty-eight billion, twenty-seven million, forty-nine thousand, nine hundred twenty".