152000 has 56 divisors (see below), whose sum is σ = 396240. Its totient is φ = 57600.

The previous prime is 151969. The next prime is 152003. The reversal of 152000 is 251.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152003) by changing a digit.

152000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7991 + ... + 8009.

2¹⁵²⁰⁰⁰ is an apocalyptic number.

152000 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 152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120).

152000 is an abundant number, since it is smaller than the sum of its proper divisors (244240).

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

152000 is an equidigital number, since it uses as much as digits as its factorization.

152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 152000 is about 389.8717737924. The cubic root of 152000 is about 53.3680329744.

Adding to 152000 its reverse (251), we get a palindrome (152251).

The spelling of 152000 in words is "one hundred fifty-two thousand".