138419203104 has 1536 divisors, whose sum is σ = 559964160000. Its totient is φ = 32920473600.

The previous prime is 138419203093. The next prime is 138419203147. The reversal of 138419203104 is 401302914831.

138419203104 is a `hidden beast` number, since 1 + 38 + 419 + 203 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2269167234 + ... + 2269167294.

It is an arithmetic number, because the mean of its divisors is an integer number (364560000).

Almost surely, 2^138419203104 is an apocalyptic number.

138419203104 is a gapful number since it is divisible by the number (14) 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 138419203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080000).

138419203104 is an abundant number, since it is smaller than the sum of its proper divisors (421544956896).

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

138419203104 is a wasteful number, since it uses less digits than its factorization.

138419203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 138419203104 in words is "one hundred thirty-eight billion, four hundred nineteen million, two hundred three thousand, one hundred four".