152080 has 20 divisors (see below), whose sum is σ = 353772. Its totient is φ = 60800.

The previous prime is 152077. The next prime is 152081. The reversal of 152080 is 80251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 121104 = 176^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (152081) 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, 871 + ... + 1030.

2¹⁵²⁰⁸⁰ is an apocalyptic number.

152080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152080 is an abundant number, since it is smaller than the sum of its proper divisors (201692).

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

152080 is a wasteful number, since it uses less digits than its factorization.

152080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 152080 is about 389.9743581314. The cubic root of 152080 is about 53.3773941451.

It can be divided in two parts, 1520 and 80, that added together give a square (1600 = 40²).

The spelling of 152080 in words is "one hundred fifty-two thousand, eighty".