153313243200 has 504 divisors, whose sum is σ = 588346067400. Its totient is φ = 37641093120.

The previous prime is 153313243199. The next prime is 153313243201. The reversal of 153313243200 is 2342313351.

153313243200 is a `hidden beast` number, since 1 + 5 + 3 + 313 + 24 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153313243199) and next prime (153313243201).

It can be written as a sum of positive squares in 12 ways, for example, as 8864599104 + 144448644096 = 94152^2 + 380064^2 .

It is not an unprimeable number, because it can be changed into a prime (153313243201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95283996 + ... + 95285604.

Almost surely, 2^153313243200 is an apocalyptic number.

153313243200 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 153313243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294173033700).

153313243200 is an abundant number, since it is smaller than the sum of its proper divisors (435032824200).

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

153313243200 is a wasteful number, since it uses less digits than its factorization.

153313243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 153313243200 its reverse (2342313351), we get a palindrome (155655556551).

The spelling of 153313243200 in words is "one hundred fifty-three billion, three hundred thirteen million, two hundred forty-three thousand, two hundred".