153145200 has 120 divisors (see below), whose sum is σ = 528365488. Its totient is φ = 37693440.

The previous prime is 153145193. The next prime is 153145217. The reversal of 153145200 is 2541351.

It is a tau number, because it is divible by the number of its divisors (120).

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, 10692 + ... + 20508.

Almost surely, 2^153145200 is an apocalyptic number.

153145200 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 153145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264182744).

153145200 is an abundant number, since it is smaller than the sum of its proper divisors (375220288).

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

153145200 is a wasteful number, since it uses less digits than its factorization.

153145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9851 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 153145200 is about 12375.1848471043. The cubic root of 153145200 is about 535.0172644151.

Adding to 153145200 its reverse (2541351), we get a palindrome (155686551).

The spelling of 153145200 in words is "one hundred fifty-three million, one hundred forty-five thousand, two hundred".