138521802817200 has 240 divisors, whose sum is σ = 484591845744000. Its totient is φ = 33544892620800.

The previous prime is 138521802817199. The next prime is 138521802817241. The reversal of 138521802817200 is 2718208125831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×138521802817200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138521802817200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6614751 + ... + 17910849.

It is an arithmetic number, because the mean of its divisors is an integer number (2019132690600).

Almost surely, 2^{138521802817200} is an apocalyptic number.

138521802817200 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 138521802817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242295922872000).

138521802817200 is an abundant number, since it is smaller than the sum of its proper divisors (346070042926800).

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

138521802817200 is a wasteful number, since it uses less digits than its factorization.

138521802817200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11297060 (or 11297049 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 138521802817200 in words is "one hundred thirty-eight trillion, five hundred twenty-one billion, eight hundred two million, eight hundred seventeen thousand, two hundred".