138366482892000 has 3456 divisors, whose sum is σ = 575677487024640. Its totient is φ = 28849582080000.

The previous prime is 138366482891951. The next prime is 138366482892037. The reversal of 138366482892000 is 298284663831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 450705155847 + ... + 450705156153.

It is an arithmetic number, because the mean of its divisors is an integer number (166573346940).

Almost surely, 2^{138366482892000} is an apocalyptic number.

138366482892000 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 138366482892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287838743512320).

138366482892000 is an abundant number, since it is smaller than the sum of its proper divisors (437311004132640).

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

138366482892000 is a wasteful number, since it uses less digits than its factorization.

138366482892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 138366482892000 in words is "one hundred thirty-eight trillion, three hundred sixty-six billion, four hundred eighty-two million, eight hundred ninety-two thousand".