153202055200 has 144 divisors (see below), whose sum is σ = 399513257640. Its totient is φ = 57165086720.

The previous prime is 153202055143. The next prime is 153202055203. The reversal of 153202055200 is 2550202351.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4963984 + 153197091216 = 2228^2 + 391404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (153202055203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486956 + ... + 1586644.

Almost surely, 2^153202055200 is an apocalyptic number.

153202055200 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 153202055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756628820).

153202055200 is an abundant number, since it is smaller than the sum of its proper divisors (246311202440).

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

153202055200 is a wasteful number, since it uses less digits than its factorization.

153202055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99839 (or 99826 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 153202055200 its reverse (2550202351), we get a palindrome (155752257551).

The spelling of 153202055200 in words is "one hundred fifty-three billion, two hundred two million, fifty-five thousand, two hundred".