138835600 has 90 divisors (see below), whose sum is σ = 354622454. Its totient is φ = 52224000.

The previous prime is 138835597. The next prime is 138835649. The reversal of 138835600 is 6538831.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 45751696 + 93083904 = 6764^2 + 9648^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115000 + ... + 116200.

Almost surely, 2^138835600 is an apocalyptic number.

138835600 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 138835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177311227).

138835600 is an abundant number, since it is smaller than the sum of its proper divisors (215786854).

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

138835600 is a wasteful number, since it uses less digits than its factorization.

138835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 138835600 is about 11782.8519467912. The cubic root of 138835600 is about 517.8058434661.

The spelling of 138835600 in words is "one hundred thirty-eight million, eight hundred thirty-five thousand, six hundred".