153300 has 72 divisors (see below), whose sum is σ = 513856. Its totient is φ = 34560.

The previous prime is 153287. The next prime is 153313. The reversal of 153300 is 3351.

It is a happy number.

153300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153287) and next prime (153313).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 153300.

It is an unprimeable number.

153300 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 23 ways as a sum of consecutive naturals, for example, 2064 + ... + 2136.

2¹⁵³³⁰⁰ is an apocalyptic number.

153300 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 153300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256928).

153300 is an abundant number, since it is smaller than the sum of its proper divisors (360556).

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

153300 is a wasteful number, since it uses less digits than its factorization.

153300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 153300 is about 391.5354390090. The cubic root of 153300 is about 53.5197469830.

Adding to 153300 its reverse (3351), we get a palindrome (156651).

It can be divided in two parts, 1 and 53300, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 153300 in words is "one hundred fifty-three thousand, three hundred".