138467052124000 has 192 divisors, whose sum is σ = 348562352017152. Its totient is φ = 54035165184000.

The previous prime is 138467052123979. The next prime is 138467052124007. The reversal of 138467052124000 is 421250764831.

It is a super-2 number, since 2×138467052124000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138467052124007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57667440 + ... + 60020560.

It is an arithmetic number, because the mean of its divisors is an integer number (1815428916756).

Almost surely, 2^{138467052124000} is an apocalyptic number.

138467052124000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138467052124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174281176008576).

138467052124000 is an abundant number, since it is smaller than the sum of its proper divisors (210095299893152).

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

138467052124000 is a wasteful number, since it uses less digits than its factorization.

138467052124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353506 (or 2353488 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 138467052124000 in words is "one hundred thirty-eight trillion, four hundred sixty-seven billion, fifty-two million, one hundred twenty-four thousand".