138650322585600 has 3024 divisors, whose sum is σ = 611027817341760. Its totient is φ = 30550199500800.

The previous prime is 138650322585587. The next prime is 138650322585611. The reversal of 138650322585600 is 6585223056831.

It is a happy number.

138650322585600 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 5 + 0 + 3 + 2 + 25 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 219731097285 + ... + 219731097915.

Almost surely, 2^{138650322585600} is an apocalyptic number.

138650322585600 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 138650322585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305513908670880).

138650322585600 is an abundant number, since it is smaller than the sum of its proper divisors (472377494756160).

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

138650322585600 is an frugal number, since it uses more digits than its factorization.

138650322585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 138650322585600 in words is "one hundred thirty-eight trillion, six hundred fifty billion, three hundred twenty-two million, five hundred eighty-five thousand, six hundred".