138138250000 has 70 divisors (see below), whose sum is σ = 334549897394. Its totient is φ = 55255200000.

The previous prime is 138138249983. The next prime is 138138250007. The reversal of 138138250000 is 52831831.

It can be written as a sum of positive squares in 7 ways, for example, as 135400449024 + 2737800976 = 367968^2 + 52324^2 .

It is a super-2 number, since 2×138138250000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138138250007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 26277 + ... + 526276.

Almost surely, 2^138138250000 is an apocalyptic number.

138138250000 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 138138250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167274948697).

138138250000 is an abundant number, since it is smaller than the sum of its proper divisors (196411647394).

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

138138250000 is an frugal number, since it uses more digits than its factorization.

138138250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552591 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 138138250000 in words is "one hundred thirty-eight billion, one hundred thirty-eight million, two hundred fifty thousand".