152838 has 24 divisors (see below), whose sum is σ = 378768. Its totient is φ = 43632.

The previous prime is 152837. The next prime is 152839. The reversal of 152838 is 838251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152837) and next prime (152839).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (15782).

2¹⁵²⁸³⁸ is an apocalyptic number.

152838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

152838 is an abundant number, since it is smaller than the sum of its proper divisors (225930).

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

152838 is a wasteful number, since it uses less digits than its factorization.

152838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1225 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 152838 is about 390.9450089207. The cubic root of 152838 is about 53.4659287534.

It can be divided in two parts, 152 and 838, that added together give a triangular number (990 = T₄₄).

The spelling of 152838 in words is "one hundred fifty-two thousand, eight hundred thirty-eight".