152065117300 has 72 divisors (see below), whose sum is σ = 357913888920. Its totient is φ = 55851724800.

The previous prime is 152065117289. The next prime is 152065117331. The reversal of 152065117300 is 3711560251.

152065117300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15879024144 + 136186093156 = 126012^2 + 369034^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021155 + ... + 1160554.

It is an arithmetic number, because the mean of its divisors is an integer number (4971026235).

Almost surely, 2^152065117300 is an apocalyptic number.

152065117300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152065117300 is an abundant number, since it is smaller than the sum of its proper divisors (205848771620).

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

152065117300 is a wasteful number, since it uses less digits than its factorization.

152065117300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181781 (or 2181774 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 152065117300 its reverse (3711560251), we get a palindrome (155776677551).

The spelling of 152065117300 in words is "one hundred fifty-two billion, sixty-five million, one hundred seventeen thousand, three hundred".