138115251958320 has 1280 divisors, whose sum is σ = 617048173056000. Its totient is φ = 27574941155328.

The previous prime is 138115251958259. The next prime is 138115251958483. The reversal of 138115251958320 is 23859152511831.

138115251958320 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 5 + 2 + 51 + 9 + 583 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3275258196 + ... + 3275300364.

It is an arithmetic number, because the mean of its divisors is an integer number (482068885200).

Almost surely, 2^{138115251958320} is an apocalyptic number.

138115251958320 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 138115251958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308524086528000).

138115251958320 is an abundant number, since it is smaller than the sum of its proper divisors (478932921097680).

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

138115251958320 is a wasteful number, since it uses less digits than its factorization.

138115251958320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43107 (or 43095 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 138115251958320 in words is "one hundred thirty-eight trillion, one hundred fifteen billion, two hundred fifty-one million, nine hundred fifty-eight thousand, three hundred twenty".