138219555663504 has 480 divisors, whose sum is σ = 468778536253440. Its totient is φ = 38196046368000.

The previous prime is 138219555663451. The next prime is 138219555663523. The reversal of 138219555663504 is 405366555912831.

138219555663504 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 19 + 5 + 5 + 56 + 63 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5611597269 + ... + 5611621899.

It is an arithmetic number, because the mean of its divisors is an integer number (976621950528).

Almost surely, 2^{138219555663504} is an apocalyptic number.

138219555663504 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 138219555663504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234389268126720).

138219555663504 is an abundant number, since it is smaller than the sum of its proper divisors (330558980589936).

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

138219555663504 is a wasteful number, since it uses less digits than its factorization.

138219555663504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648 (or 26605 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 138219555663504 in words is "one hundred thirty-eight trillion, two hundred nineteen billion, five hundred fifty-five million, six hundred sixty-three thousand, five hundred four".