152000345200 has 180 divisors, whose sum is σ = 402631400080. Its totient is φ = 55102924800.

The previous prime is 152000345179. The next prime is 152000345239. The reversal of 152000345200 is 2543000251.

152000345200 is digitally balanced in base 2, 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 (22).

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 35 ways as a sum of consecutive naturals, for example, 16306141 + ... + 16315459.

Almost surely, 2^152000345200 is an apocalyptic number.

152000345200 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 152000345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201315700040).

152000345200 is an abundant number, since it is smaller than the sum of its proper divisors (250631054880).

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

152000345200 is a wasteful number, since it uses less digits than its factorization.

152000345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 152000345200 its reverse (2543000251), we get a palindrome (154543345451).

The spelling of 152000345200 in words is "one hundred fifty-two billion, three hundred forty-five thousand, two hundred".