153200 has 30 divisors (see below), whose sum is σ = 369024. Its totient is φ = 61120.
The previous prime is 153191. The next prime is 153247. The reversal of 153200 is 2351.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153200.
It is an unprimeable number.
153200 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 5 ways as a sum of consecutive naturals, for example, 209 + ... + 591.
2153200 is an apocalyptic number.
153200 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 153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512).
153200 is an abundant number, since it is smaller than the sum of its proper divisors (215824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153200 is a wasteful number, since it uses less digits than its factorization.
153200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 401 (or 390 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 11.
The square root of 153200 is about 391.4077158156. The cubic root of 153200 is about 53.5081071943.
Adding to 153200 its reverse (2351), we get a palindrome (155551).
It can be divided in two parts, 153 and 200, that added together give a palindrome (353).
The spelling of 153200 in words is "one hundred fifty-three thousand, two hundred".
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