138755773242800 has 120 divisors (see below), whose sum is σ = 403394515357536. Its totient is φ = 44774972190720.

The previous prime is 138755773242767. The next prime is 138755773242841. The reversal of 138755773242800 is 8242377557831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457471027 + ... + 1457566226.

Almost surely, 2^{138755773242800} is an apocalyptic number.

138755773242800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138755773242800 is an abundant number, since it is smaller than the sum of its proper divisors (264638742114736).

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

138755773242800 is a wasteful number, since it uses less digits than its factorization.

138755773242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915037295 (or 2915037284 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 62.

The spelling of 138755773242800 in words is "one hundred thirty-eight trillion, seven hundred fifty-five billion, seven hundred seventy-three million, two hundred forty-two thousand, eight hundred".