138029219491680 has 288 divisors, whose sum is σ = 540889622058240. Its totient is φ = 31700490531840.

The previous prime is 138029219491679. The next prime is 138029219491697. The reversal of 138029219491680 is 86194912920831.

138029219491680 is a `hidden beast` number, since 1 + 3 + 80 + 2 + 9 + 2 + 1 + 9 + 491 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229013932 + ... + 229615851.

It is an arithmetic number, because the mean of its divisors is an integer number (1878088965480).

Almost surely, 2^{138029219491680} is an apocalyptic number.

138029219491680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138029219491680 is an abundant number, since it is smaller than the sum of its proper divisors (402860402566560).

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

138029219491680 is a wasteful number, since it uses less digits than its factorization.

138029219491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458629834 (or 458629823 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 138029219491680 in words is "one hundred thirty-eight trillion, twenty-nine billion, two hundred nineteen million, four hundred ninety-one thousand, six hundred eighty".