138838500 has 72 divisors (see below), whose sum is σ = 438003384. Its totient is φ = 37022400.

The previous prime is 138838493. The next prime is 138838523. The reversal of 138838500 is 5838831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 113678244 = 5016^2 + 10662^2 .

It is a super-2 number, since 2×138838500² = 38552258164500000, which contains 22 as substring.

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

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, 10927 + ... + 19926.

Almost surely, 2^138838500 is an apocalyptic number.

138838500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138838500 is an abundant number, since it is smaller than the sum of its proper divisors (299164884).

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

138838500 is a wasteful number, since it uses less digits than its factorization.

138838500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30878 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138838500 is about 11782.9750063386. The cubic root of 138838500 is about 517.8094487529.

The spelling of 138838500 in words is "one hundred thirty-eight million, eight hundred thirty-eight thousand, five hundred".