138061847184768 has 512 divisors, whose sum is σ = 450785308579200. Its totient is φ = 41322634444800.

The previous prime is 138061847184671. The next prime is 138061847184827. The reversal of 138061847184768 is 867481748160831.

138061847184768 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 1 + 8 + 471 + 84 + 76 + 8 = 666.

It is a super-2 number, since 2×138061847184768² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 138061847184696 and 138061847184705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10141905130 + ... + 10141918742.

Almost surely, 2^{138061847184768} is an apocalyptic number.

138061847184768 is a gapful number since it is divisible by the number (18) 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 138061847184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225392654289600).

138061847184768 is an abundant number, since it is smaller than the sum of its proper divisors (312723461394432).

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

138061847184768 is a wasteful number, since it uses less digits than its factorization.

138061847184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 138061847184768 in words is "one hundred thirty-eight trillion, sixty-one billion, eight hundred forty-seven million, one hundred eighty-four thousand, seven hundred sixty-eight".