138738949760200 has 24 divisors (see below), whose sum is σ = 322568058192930. Its totient is φ = 55495579904000.

The previous prime is 138738949760171. The next prime is 138738949760221. The reversal of 138738949760200 is 2067949837831.

It can be written as a sum of positive squares in 3 ways, for example, as 83577224475364 + 55161725284836 = 9142058^2 + 7427094^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346847374201 + ... + 346847374600.

Almost surely, 2^{138738949760200} is an apocalyptic number.

138738949760200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138738949760200 is an abundant number, since it is smaller than the sum of its proper divisors (183829108432730).

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

138738949760200 is a wasteful number, since it uses less digits than its factorization.

138738949760200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693694748817 (or 693694748808 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 138738949760200 in words is "one hundred thirty-eight trillion, seven hundred thirty-eight billion, nine hundred forty-nine million, seven hundred sixty thousand, two hundred".