138163601596500 has 480 divisors, whose sum is σ = 463040505607680. Its totient is φ = 35840384928000.

The previous prime is 138163601596481. The next prime is 138163601596513. The reversal of 138163601596500 is 5695106361831.

138163601596500 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 6 + 36 + 0 + 15 + 96 + 500 = 666.

It is a super-2 number, since 2×138163601596500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14042438581 + ... + 14042448419.

It is an arithmetic number, because the mean of its divisors is an integer number (964667720016).

Almost surely, 2^{138163601596500} is an apocalyptic number.

138163601596500 is a gapful number since it is divisible by the number (10) 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 138163601596500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231520252803840).

138163601596500 is an abundant number, since it is smaller than the sum of its proper divisors (324876904011180).

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

138163601596500 is a wasteful number, since it uses less digits than its factorization.

138163601596500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19278 (or 19257 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 138163601596500 in words is "one hundred thirty-eight trillion, one hundred sixty-three billion, six hundred one million, five hundred ninety-six thousand, five hundred".