138025000 has 48 divisors (see below), whose sum is σ = 323533980. Its totient is φ = 55200000.

The previous prime is 138024973. The next prime is 138025003. The reversal of 138025000 is 520831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28068804 + 109956196 = 5298^2 + 10486^2 .

It is not an unprimeable number, because it can be changed into a prime (138025003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22240 + ... + 27760.

Almost surely, 2^138025000 is an apocalyptic number.

138025000 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 138025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161766990).

138025000 is an abundant number, since it is smaller than the sum of its proper divisors (185508980).

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

138025000 is an frugal number, since it uses more digits than its factorization.

138025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 138025000 is about 11748.4041469469. The cubic root of 138025000 is about 516.7961289636.

Adding to 138025000 its reverse (520831), we get a palindrome (138545831).

The spelling of 138025000 in words is "one hundred thirty-eight million, twenty-five thousand".