38139120 has 80 divisors (see below), whose sum is σ = 131375520. Its totient is φ = 10169856.

The previous prime is 38139107. The next prime is 38139121. The reversal of 38139120 is 2193183.

38139120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38139121) 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 15 ways as a sum of consecutive naturals, for example, 6669 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (1642194).

Almost surely, 2^38139120 is an apocalyptic number.

38139120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38139120 is an abundant number, since it is smaller than the sum of its proper divisors (93236400).

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

38139120 is a wasteful number, since it uses less digits than its factorization.

38139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679 (or 17667 counting only the distinct ones).

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

The square root of 38139120 is about 6175.6878159441. The cubic root of 38139120 is about 336.6073199752.

The spelling of 38139120 in words is "thirty-eight million, one hundred thirty-nine thousand, one hundred twenty".