138180572706000 has 320 divisors, whose sum is σ = 489255373152000. Its totient is φ = 33273497344000.

The previous prime is 138180572705999. The next prime is 138180572706091. The reversal of 138180572706000 is 607275081831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808346 + ... + 16859654.

It is an arithmetic number, because the mean of its divisors is an integer number (1528923041100).

Almost surely, 2^{138180572706000} is an apocalyptic number.

138180572706000 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 138180572706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244627686576000).

138180572706000 is an abundant number, since it is smaller than the sum of its proper divisors (351074800446000).

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

138180572706000 is a wasteful number, since it uses less digits than its factorization.

138180572706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051495 (or 14051479 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 138180572706000 in words is "one hundred thirty-eight trillion, one hundred eighty billion, five hundred seventy-two million, seven hundred six thousand".