138762500 has 72 divisors (see below), whose sum is σ = 321870024. Its totient is φ = 52160000.

The previous prime is 138762499. The next prime is 138762511. The reversal of 138762500 is 5267831.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 138485824 + 276676 = 11768^2 + 526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212174 + ... + 212826.

It is an arithmetic number, because the mean of its divisors is an integer number (4470417).

Almost surely, 2^138762500 is an apocalyptic number.

138762500 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 138762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160935012).

138762500 is an abundant number, since it is smaller than the sum of its proper divisors (183107524).

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

138762500 is an equidigital number, since it uses as much as digits as its factorization.

138762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 138762500 is about 11779.7495728899. The cubic root of 138762500 is about 517.7149487860.

The spelling of 138762500 in words is "one hundred thirty-eight million, seven hundred sixty-two thousand, five hundred".