138764200 has 48 divisors (see below), whose sum is σ = 341613180. Its totient is φ = 52239360.

The previous prime is 138764179. The next prime is 138764207. The reversal of 138764200 is 2467831.

It can be written as a sum of positive squares in 6 ways, for example, as 117548964 + 21215236 = 10842^2 + 4606^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138764207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17007 + ... + 23806.

Almost surely, 2^138764200 is an apocalyptic number.

138764200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138764200 is an abundant number, since it is smaller than the sum of its proper divisors (202848980).

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

138764200 is a wasteful number, since it uses less digits than its factorization.

138764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40846 (or 40837 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 138764200 is about 11779.8217303998. The cubic root of 138764200 is about 517.7170629783.

The spelling of 138764200 in words is "one hundred thirty-eight million, seven hundred sixty-four thousand, two hundred".