152082 has 48 divisors (see below), whose sum is σ = 404352. Its totient is φ = 40320.

The previous prime is 152081. The next prime is 152083. The reversal of 152082 is 280251.

It is an interprime number because it is at equal distance from previous prime (152081) and next prime (152083).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2107 + ... + 2177.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2¹⁵²⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176).

152082 is an abundant number, since it is smaller than the sum of its proper divisors (252270).

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

152082 is a wasteful number, since it uses less digits than its factorization.

152082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152082 is about 389.9769223941. The cubic root of 152082 is about 53.3776281323.

Adding to 152082 its sum of digits (18), we get a square (152100 = 390²).

The spelling of 152082 in words is "one hundred fifty-two thousand, eighty-two".