153441200 has 120 divisors (see below), whose sum is σ = 412015296. Its totient is φ = 54432000.

The previous prime is 153441199. The next prime is 153441209. The reversal of 153441200 is 2144351.

153441200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (153441209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188795 + ... + 189605.

Almost surely, 2^153441200 is an apocalyptic number.

153441200 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 153441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007648).

153441200 is an abundant number, since it is smaller than the sum of its proper divisors (258574096).

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

153441200 is a wasteful number, since it uses less digits than its factorization.

153441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 153441200 is about 12387.1384911932. The cubic root of 153441200 is about 535.3617374816.

Adding to 153441200 its reverse (2144351), we get a palindrome (155585551).

The spelling of 153441200 in words is "one hundred fifty-three million, four hundred forty-one thousand, two hundred".