138081181702464 has 2688 divisors, whose sum is σ = 559742505713664. Its totient is φ = 32591268864000.

The previous prime is 138081181702427. The next prime is 138081181702481. The reversal of 138081181702464 is 464207181180831.

It is a happy number.

138081181702464 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 1 + 1 + 8 + 170 + 2 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138081181702464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 417163690779 + ... + 417163691109.

It is an arithmetic number, because the mean of its divisors is an integer number (208237539328).

Almost surely, 2^{138081181702464} is an apocalyptic number.

138081181702464 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 138081181702464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279871252856832).

138081181702464 is an abundant number, since it is smaller than the sum of its proper divisors (421661324011200).

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

138081181702464 is a wasteful number, since it uses less digits than its factorization.

138081181702464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 138081181702464 in words is "one hundred thirty-eight trillion, eighty-one billion, one hundred eighty-one million, seven hundred two thousand, four hundred sixty-four".