138273723000 has 960 divisors, whose sum is σ = 578706448320. Its totient is φ = 30165696000.

The previous prime is 138273722969. The next prime is 138273723031. The reversal of 138273723000 is 327372831.

138273723000 is a `hidden beast` number, since 13 + 8 + 273 + 72 + 300 + 0 = 666.

138273723000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138273722969) and next prime (138273723031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 299942770 + ... + 299943230.

It is an arithmetic number, because the mean of its divisors is an integer number (602819217).

Almost surely, 2^138273723000 is an apocalyptic number.

138273723000 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 138273723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289353224160).

138273723000 is an abundant number, since it is smaller than the sum of its proper divisors (440432725320).

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

138273723000 is a wasteful number, since it uses less digits than its factorization.

138273723000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 138273723000 in words is "one hundred thirty-eight billion, two hundred seventy-three million, seven hundred twenty-three thousand".