152120 has 16 divisors (see below), whose sum is σ = 342360. Its totient is φ = 60832.

The previous prime is 152111. The next prime is 152123. The reversal of 152120 is 21251.

152120 = T₁₉₁ + T₁₉₂ + ... + T₁₉₈.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152120.

It is not an unprimeable number, because it can be changed into a prime (152123) by changing a digit.

152120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1862 + ... + 1941.

2¹⁵²¹²⁰ is an apocalyptic number.

152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152120 is an abundant number, since it is smaller than the sum of its proper divisors (190240).

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

152120 is a wasteful number, since it uses less digits than its factorization.

152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 152120 is about 390.0256401828. The cubic root of 152120 is about 53.3820734994.

Subtracting from 152120 its product of nonzero digits (20), we obtain a square (152100 = 390²).

Adding to 152120 its reverse (21251), we get a palindrome (173371).

It can be divided in two parts, 152 and 120, that added together give a palindrome (272).

The spelling of 152120 in words is "one hundred fifty-two thousand, one hundred twenty".