138779800 has 96 divisors (see below), whose sum is σ = 345960000. Its totient is φ = 51615360.

The previous prime is 138779783. The next prime is 138779801. The reversal of 138779800 is 8977831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138779801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 223891 + ... + 224509.

It is an arithmetic number, because the mean of its divisors is an integer number (3603750).

Almost surely, 2^138779800 is an apocalyptic number.

138779800 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 138779800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980000).

138779800 is an abundant number, since it is smaller than the sum of its proper divisors (207180200).

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

138779800 is a wasteful number, since it uses less digits than its factorization.

138779800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 138779800 is about 11780.4838610305. The cubic root of 138779800 is about 517.7364629953.

The spelling of 138779800 in words is "one hundred thirty-eight million, seven hundred seventy-nine thousand, eight hundred".