138537800 has 24 divisors (see below), whose sum is σ = 322100850. Its totient is φ = 55415040.

The previous prime is 138537793. The next prime is 138537803. The reversal of 138537800 is 8735831.

It can be written as a sum of positive squares in 3 ways, for example, as 50665924 + 87871876 = 7118^2 + 9374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138537803) 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 5 ways as a sum of consecutive naturals, for example, 346145 + ... + 346544.

Almost surely, 2^138537800 is an apocalyptic number.

138537800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138537800 is an abundant number, since it is smaller than the sum of its proper divisors (183563050).

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

138537800 is a wasteful number, since it uses less digits than its factorization.

138537800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692705 (or 692696 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 138537800 is about 11770.2081544890. The cubic root of 138537800 is about 517.4353501974.

The spelling of 138537800 in words is "one hundred thirty-eight million, five hundred thirty-seven thousand, eight hundred".