138748723200 has 1152 divisors, whose sum is σ = 559059686640. Its totient is φ = 33973862400.

The previous prime is 138748723187. The next prime is 138748723207. The reversal of 138748723200 is 2327847831.

138748723200 is a `hidden beast` number, since 1 + 387 + 48 + 7 + 23 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138748723207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3384115180 + ... + 3384115220.

Almost surely, 2^138748723200 is an apocalyptic number.

138748723200 is a gapful number since it is divisible by the number (10) 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 138748723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279529843320).

138748723200 is an abundant number, since it is smaller than the sum of its proper divisors (420310963440).

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

138748723200 is an frugal number, since it uses more digits than its factorization.

138748723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 138748723200 in words is "one hundred thirty-eight billion, seven hundred forty-eight million, seven hundred twenty-three thousand, two hundred".