138144269894400 has 2592 divisors, whose sum is σ = 674482305369600. Its totient is φ = 26084730470400.

The previous prime is 138144269894377. The next prime is 138144269894401. The reversal of 138144269894400 is 4498962441831.

138144269894400 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 442 + 69 + 8 + 94 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138144269894401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2186522011 + ... + 2186585189.

It is an arithmetic number, because the mean of its divisors is an integer number (260216938800).

Almost surely, 2^{138144269894400} is an apocalyptic number.

138144269894400 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 138144269894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337241152684800).

138144269894400 is an abundant number, since it is smaller than the sum of its proper divisors (536338035475200).

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

138144269894400 is a wasteful number, since it uses less digits than its factorization.

138144269894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63275 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 138144269894400 in words is "one hundred thirty-eight trillion, one hundred forty-four billion, two hundred sixty-nine million, eight hundred ninety-four thousand, four hundred".