138148652544 has 240 divisors, whose sum is σ = 430532037936. Its totient is φ = 39249100800.

The previous prime is 138148652503. The next prime is 138148652563. The reversal of 138148652544 is 445256841831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13617714 + ... + 13627854.

Almost surely, 2^138148652544 is an apocalyptic number.

138148652544 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 138148652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215266018968).

138148652544 is an abundant number, since it is smaller than the sum of its proper divisors (292383385392).

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

138148652544 is a wasteful number, since it uses less digits than its factorization.

138148652544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10334 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 138148652544 in words is "one hundred thirty-eight billion, one hundred forty-eight million, six hundred fifty-two thousand, five hundred forty-four".