138553810000 has 100 divisors (see below), whose sum is σ = 337869347200. Its totient is φ = 55022256000.

The previous prime is 138553809959. The next prime is 138553810009. The reversal of 138553810000 is 18355831.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×138553810000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138553810009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1340161 + ... + 1439839.

It is an arithmetic number, because the mean of its divisors is an integer number (3378693472).

Almost surely, 2^138553810000 is an apocalyptic number.

138553810000 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 138553810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168934673600).

138553810000 is an abundant number, since it is smaller than the sum of its proper divisors (199315537200).

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

138553810000 is an equidigital number, since it uses as much as digits as its factorization.

138553810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99846 (or 99825 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 138553810000 in words is "one hundred thirty-eight billion, five hundred fifty-three million, eight hundred ten thousand".