138645748000 has 96 divisors (see below), whose sum is σ = 355463821440. Its totient is φ = 53047033600.

The previous prime is 138645747991. The next prime is 138645748013. The reversal of 138645748000 is 847546831.

It is a happy number.

138645748000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×138645748000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661510 + ... + 845509.

It is an arithmetic number, because the mean of its divisors is an integer number (3702748140).

Almost surely, 2^138645748000 is an apocalyptic number.

138645748000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138645748000 is an abundant number, since it is smaller than the sum of its proper divisors (216818073440).

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

138645748000 is a wasteful number, since it uses less digits than its factorization.

138645748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507067 (or 1507049 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 138645748000 in words is "one hundred thirty-eight billion, six hundred forty-five million, seven hundred forty-eight thousand".