138270423066300 has 1296 divisors, whose sum is σ = 544352335887360. Its totient is φ = 29174123704320.

The previous prime is 138270423066253. The next prime is 138270423066311. The reversal of 138270423066300 is 3660324072831.

138270423066300 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 7 + 0 + 4 + 2 + 3 + 0 + 6 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15600855669 + ... + 15600864531.

Almost surely, 2^{138270423066300} is an apocalyptic number.

138270423066300 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 138270423066300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272176167943680).

138270423066300 is an abundant number, since it is smaller than the sum of its proper divisors (406081912821060).

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

138270423066300 is a wasteful number, since it uses less digits than its factorization.

138270423066300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 138270423066300 in words is "one hundred thirty-eight trillion, two hundred seventy billion, four hundred twenty-three million, sixty-six thousand, three hundred".