152200 has 24 divisors (see below), whose sum is σ = 354330. Its totient is φ = 60800.

The previous prime is 152197. The next prime is 152203. The reversal of 152200 is 2251.

It is an interprime number because it is at equal distance from previous prime (152197) and next prime (152203).

It can be written as a sum of positive squares in 3 ways, for example, as 58564 + 93636 = 242^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (152203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181 + ... + 580.

2¹⁵²²⁰⁰ is an apocalyptic number.

152200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152200 is an abundant number, since it is smaller than the sum of its proper divisors (202130).

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

152200 is a wasteful number, since it uses less digits than its factorization.

152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 152200 is about 390.1281840626. The cubic root of 152200 is about 53.3914297477.

Adding to 152200 its reverse (2251), we get a palindrome (154451).

The spelling of 152200 in words is "one hundred fifty-two thousand, two hundred".