138837213275760 has 120 divisors (see below), whose sum is σ = 472163687536320. Its totient is φ = 36554608037376.

The previous prime is 138837213275713. The next prime is 138837213275767. The reversal of 138837213275760 is 67572312738831.

138837213275760 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 3 + 7 + 21 + 32 + 7 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138837213275767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220382759 + ... + 1220496518.

It is an arithmetic number, because the mean of its divisors is an integer number (3934697396136).

Almost surely, 2^{138837213275760} is an apocalyptic number.

138837213275760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138837213275760 is an abundant number, since it is smaller than the sum of its proper divisors (333326474260560).

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

138837213275760 is a wasteful number, since it uses less digits than its factorization.

138837213275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440879375 (or 2440879366 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 138837213275760 in words is "one hundred thirty-eight trillion, eight hundred thirty-seven billion, two hundred thirteen million, two hundred seventy-five thousand, seven hundred sixty".