39138120 has 256 divisors, whose sum is σ = 154828800. Its totient is φ = 8605440.

The previous prime is 39138109. The next prime is 39138133. The reversal of 39138120 is 2183193.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234277 + ... + 234443.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^39138120 is an apocalyptic number.

39138120 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 39138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

39138120 is an abundant number, since it is smaller than the sum of its proper divisors (115690680).

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

39138120 is a wasteful number, since it uses less digits than its factorization.

39138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 39138120 is about 6256.0466750177. The cubic root of 39138120 is about 339.5210094848.

The spelling of 39138120 in words is "thirty-nine million, one hundred thirty-eight thousand, one hundred twenty".