152800 has 36 divisors (see below), whose sum is σ = 374976. Its totient is φ = 60800.

The previous prime is 152791. The next prime is 152809. The reversal of 152800 is 8251.

Added to its reverse (8251) it gives a 5-th power (161051 = 11⁵).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152791) and next prime (152809).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152809) by changing a digit.

152800 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 5 ways as a sum of consecutive naturals, for example, 705 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹⁵²⁸⁰⁰ is an apocalyptic number.

152800 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 152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

152800 is an abundant number, since it is smaller than the sum of its proper divisors (222176).

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

152800 is a wasteful number, since it uses less digits than its factorization.

152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

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

The square root of 152800 is about 390.8964057138. The cubic root of 152800 is about 53.4614973212.

Adding to 152800 its reverse (8251), we get a 5-th power (161051 = 11⁵).

The spelling of 152800 in words is "one hundred fifty-two thousand, eight hundred".