138304143360 has 600 divisors, whose sum is σ = 522402970320. Its totient is φ = 34908143616.

The previous prime is 138304143353. The next prime is 138304143407. The reversal of 138304143360 is 63341403831.

138304143360 is a `hidden beast` number, since 1 + 3 + 8 + 304 + 14 + 336 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126074332 + ... + 126075428.

Almost surely, 2^138304143360 is an apocalyptic number.

138304143360 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 138304143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261201485160).

138304143360 is an abundant number, since it is smaller than the sum of its proper divisors (384098826960).

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

138304143360 is an equidigital number, since it uses as much as digits as its factorization.

138304143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 138304143360 in words is "one hundred thirty-eight billion, three hundred four million, one hundred forty-three thousand, three hundred sixty".