138498447360 has 1152 divisors, whose sum is σ = 568621347840. Its totient is φ = 28155838464.

The previous prime is 138498447359. The next prime is 138498447361. The reversal of 138498447360 is 63744894831.

It is an interprime number because it is at equal distance from previous prime (138498447359) and next prime (138498447361).

It is a super-2 number, since 2×138498447360² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138498447360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138498447361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1344645069 + ... + 1344645171.

It is an arithmetic number, because the mean of its divisors is an integer number (493594920).

Almost surely, 2^138498447360 is an apocalyptic number.

138498447360 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 138498447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284310673920).

138498447360 is an abundant number, since it is smaller than the sum of its proper divisors (430122900480).

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

138498447360 is a wasteful number, since it uses less digits than its factorization.

138498447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 138498447360 in words is "one hundred thirty-eight billion, four hundred ninety-eight million, four hundred forty-seven thousand, three hundred sixty".