152360 has 32 divisors (see below), whose sum is σ = 370440. Its totient is φ = 56064.

The previous prime is 152311. The next prime is 152363. The reversal of 152360 is 63251.

152360 = T₉₅ + T₉₆ + ... + T₁₂₀.

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 21316 = 362^2 + 146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152363) by changing a digit.

152360 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 7 ways as a sum of consecutive naturals, for example, 374 + ... + 666.

2¹⁵²³⁶⁰ is an apocalyptic number.

152360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185220).

152360 is an abundant number, since it is smaller than the sum of its proper divisors (218080).

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

152360 is a wasteful number, since it uses less digits than its factorization.

152360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 152360 is about 390.3331910048. Note that the first 3 decimals coincide. The cubic root of 152360 is about 53.4101324131.

It can be divided in two parts, 152 and 360, that added together give a 9-th power (512 = 2⁹).

The spelling of 152360 in words is "one hundred fifty-two thousand, three hundred sixty".