39138122371500 has 288 divisors, whose sum is σ = 127465832212992. Its totient is φ = 10098950400000.

The previous prime is 39138122371489. The next prime is 39138122371541. The reversal of 39138122371500 is 517322183193.

39138122371500 is a `hidden beast` number, since 3 + 9 + 13 + 8 + 122 + 3 + 7 + 1 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148430392 + ... + 2148448608.

It is an arithmetic number, because the mean of its divisors is an integer number (442589695184).

Almost surely, 2^{39138122371500} is an apocalyptic number.

39138122371500 is a gapful number since it is divisible by the number (30) 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 39138122371500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63732916106496).

39138122371500 is an abundant number, since it is smaller than the sum of its proper divisors (88327709841492).

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

39138122371500 is a wasteful number, since it uses less digits than its factorization.

39138122371500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33674 (or 33659 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 39138122371500 in words is "thirty-nine trillion, one hundred thirty-eight billion, one hundred twenty-two million, three hundred seventy-one thousand, five hundred".