152301200713200 has 5760 divisors, whose sum is σ = 743258648401920. Its totient is φ = 29245921689600.

The previous prime is 152301200713187. The next prime is 152301200713201. The reversal of 152301200713200 is 2317002103251.

152301200713200 is a `hidden beast` number, since 1 + 523 + 0 + 1 + 2 + 0 + 0 + 7 + 132 + 0 + 0 = 666.

It is a super-3 number, since 3×152301200713200³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152301200713201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1347798236344 + ... + 1347798236456.

It is an arithmetic number, because the mean of its divisors is an integer number (129037959792).

Almost surely, 2^{152301200713200} is an apocalyptic number.

152301200713200 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 152301200713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371629324200960).

152301200713200 is an abundant number, since it is smaller than the sum of its proper divisors (590957447688720).

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

152301200713200 is a wasteful number, since it uses less digits than its factorization.

152301200713200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 152301200713200 its reverse (2317002103251), we get a palindrome (154618202816451).

The spelling of 152301200713200 in words is "one hundred fifty-two trillion, three hundred one billion, two hundred million, seven hundred thirteen thousand, two hundred".