153045200 has 120 divisors (see below), whose sum is σ = 458512320. Its totient is φ = 47692800.

The previous prime is 153045173. The next prime is 153045227. The reversal of 153045200 is 2540351.

It is an interprime number because it is at equal distance from previous prime (153045173) and next prime (153045227).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28316 + ... + 33284.

It is an arithmetic number, because the mean of its divisors is an integer number (3820936).

Almost surely, 2^153045200 is an apocalyptic number.

153045200 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 153045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229256160).

153045200 is an abundant number, since it is smaller than the sum of its proper divisors (305467120).

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

153045200 is a wasteful number, since it uses less digits than its factorization.

153045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 153045200 is about 12371.1438436387. The cubic root of 153045200 is about 534.9007880781.

Adding to 153045200 its reverse (2540351), we get a palindrome (155585551).

The spelling of 153045200 in words is "one hundred fifty-three million, forty-five thousand, two hundred".