138410899200 has 1728 divisors, whose sum is σ = 630679633920. Its totient is φ = 28983951360.

The previous prime is 138410899199. The next prime is 138410899201. The reversal of 138410899200 is 2998014831.

138410899200 is a `hidden beast` number, since 138 + 410 + 89 + 9 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138410899199) and next prime (138410899201).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138410899201) 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 191 ways as a sum of consecutive naturals, for example, 1089849537 + ... + 1089849663.

It is an arithmetic number, because the mean of its divisors is an integer number (364976640).

Almost surely, 2^138410899200 is an apocalyptic number.

138410899200 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 138410899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315339816960).

138410899200 is an abundant number, since it is smaller than the sum of its proper divisors (492268734720).

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

138410899200 is a wasteful number, since it uses less digits than its factorization.

138410899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 138410899200 in words is "one hundred thirty-eight billion, four hundred ten million, eight hundred ninety-nine thousand, two hundred".