138665610547200 has 2496 divisors, whose sum is σ = 603911080550400. Its totient is φ = 30815354880000.

The previous prime is 138665610547199. The next prime is 138665610547213. The reversal of 138665610547200 is 2745016566831.

It is a happy number.

138665610547200 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 6 + 561 + 0 + 5 + 4 + 72 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17913135330 + ... + 17913143070.

Almost surely, 2^{138665610547200} is an apocalyptic number.

138665610547200 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 138665610547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301955540275200).

138665610547200 is an abundant number, since it is smaller than the sum of its proper divisors (465245470003200).

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

138665610547200 is a wasteful number, since it uses less digits than its factorization.

138665610547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 138665610547200 in words is "one hundred thirty-eight trillion, six hundred sixty-five billion, six hundred ten million, five hundred forty-seven thousand, two hundred".