138202660173312 has 800 divisors, whose sum is σ = 496685843047680. Its totient is φ = 37374546493440.

The previous prime is 138202660173283. The next prime is 138202660173317. The reversal of 138202660173312 is 213371066202831.

138202660173312 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 2 + 6 + 601 + 7 + 3 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138202660173317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6458962998 + ... + 6458984394.

Almost surely, 2^{138202660173312} is an apocalyptic number.

138202660173312 is a gapful number since it is divisible by the number (12) 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 138202660173312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248342921523840).

138202660173312 is an abundant number, since it is smaller than the sum of its proper divisors (358483182874368).

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

138202660173312 is a wasteful number, since it uses less digits than its factorization.

138202660173312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22624 (or 22599 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 138202660173312 in words is "one hundred thirty-eight trillion, two hundred two billion, six hundred sixty million, one hundred seventy-three thousand, three hundred twelve".