152001 has 6 divisors (see below), whose sum is σ = 219570. Its totient is φ = 101328.

The previous prime is 151969. The next prime is 152003. The reversal of 152001 is 100251.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 62001 = 300^2 + 249^2 .

It is not a de Polignac number, because 152001 - 2⁵ = 151969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 16889 = 152001 / (1 + 5 + 2 + 0 + 0 + 1).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152001.

It is not an unprimeable number, because it can be changed into a prime (152003) 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 5 ways as a sum of consecutive naturals, for example, 8436 + ... + 8453.

It is an arithmetic number, because the mean of its divisors is an integer number (36595).

2¹⁵²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

152001 is a deficient number, since it is larger than the sum of its proper divisors (67569).

152001 is a wasteful number, since it uses less digits than its factorization.

152001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16895 (or 16892 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 152001 is about 389.8730562632. The cubic root of 152001 is about 53.3681500093.

Adding to 152001 its reverse (100251), we get a palindrome (252252).

It can be divided in two parts, 15 and 2001, that added together give a triangular number (2016 = T₆₃).

The spelling of 152001 in words is "one hundred fifty-two thousand, one".