38138157 has 24 divisors (see below), whose sum is σ = 59914296. Its totient is φ = 23279616.

The previous prime is 38138143. The next prime is 38138167. The reversal of 38138157 is 75183183.

38138157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18610596 + 19527561 = 4314^2 + 4419^2 .

It is not a de Polignac number, because 38138157 - 2⁴ = 38138141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38138137) 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 23 ways as a sum of consecutive naturals, for example, 2293 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (2496429).

Almost surely, 2^38138157 is an apocalyptic number.

38138157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

38138157 is a deficient number, since it is larger than the sum of its proper divisors (21776139).

38138157 is a wasteful number, since it uses less digits than its factorization.

38138157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6794 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 38138157 is about 6175.6098484279. The cubic root of 38138157 is about 336.6044868773.

The spelling of 38138157 in words is "thirty-eight million, one hundred thirty-eight thousand, one hundred fifty-seven".