38152 has 16 divisors (see below), whose sum is σ = 75600. Its totient is φ = 18000.

The previous prime is 38149. The next prime is 38153. The reversal of 38152 is 25183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (38153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2³⁸¹⁵² is an apocalyptic number.

It is an amenable number.

38152 is a deficient number, since it is larger than the sum of its proper divisors (37448).

38152 is a wasteful number, since it uses less digits than its factorization.

38152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 38152 is about 195.3253695760. The cubic root of 38152 is about 33.6645207708.

It can be divided in two parts, 38 and 152, that multiplied together give a square (5776 = 76²).

The spelling of 38152 in words is "thirty-eight thousand, one hundred fifty-two".