138518149728816 has 500 divisors, whose sum is σ = 473804867970984. Its totient is φ = 38746221696000.

The previous prime is 138518149728731. The next prime is 138518149728851. The reversal of 138518149728816 is 618827941815831.

138518149728816 is a `hidden beast` number, since 1 + 3 + 8 + 51 + 8 + 1 + 497 + 2 + 8 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 406995516 + ... + 407335716.

Almost surely, 2^{138518149728816} is an apocalyptic number.

138518149728816 is a gapful number since it is divisible by the number (16) 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 138518149728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236902433985492).

138518149728816 is an abundant number, since it is smaller than the sum of its proper divisors (335286718242168).

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

138518149728816 is an equidigital number, since it uses as much as digits as its factorization.

138518149728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340284 (or 340230 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 72.

The spelling of 138518149728816 in words is "one hundred thirty-eight trillion, five hundred eighteen billion, one hundred forty-nine million, seven hundred twenty-eight thousand, eight hundred sixteen".