152115200 has 72 divisors (see below), whose sum is σ = 377280540. Its totient is φ = 60825600.

The previous prime is 152115199. The next prime is 152115203. The reversal of 152115200 is 2511251.

152115200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152115203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49715 + ... + 52685.

Almost surely, 2^152115200 is an apocalyptic number.

152115200 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 152115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188640270).

152115200 is an abundant number, since it is smaller than the sum of its proper divisors (225165340).

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

152115200 is an equidigital number, since it uses as much as digits as its factorization.

152115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 152115200 is about 12333.4990979851. The cubic root of 152115200 is about 533.8151202022.

Adding to 152115200 its reverse (2511251), we get a palindrome (154626451).

The spelling of 152115200 in words is "one hundred fifty-two million, one hundred fifteen thousand, two hundred".