152303200 has 72 divisors (see below), whose sum is σ = 424941552. Its totient is φ = 52216320.

The previous prime is 152303197. The next prime is 152303201. The reversal of 152303200 is 2303251.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152303201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7999 + ... + 19198.

It is an arithmetic number, because the mean of its divisors is an integer number (5901966).

Almost surely, 2^152303200 is an apocalyptic number.

152303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152303200 is an abundant number, since it is smaller than the sum of its proper divisors (272638352).

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

152303200 is a wasteful number, since it uses less digits than its factorization.

152303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27224 (or 27211 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 152303200 is about 12341.1182637555. The cubic root of 152303200 is about 534.0349446662.

Adding to 152303200 its reverse (2303251), we get a palindrome (154606451).

The spelling of 152303200 in words is "one hundred fifty-two million, three hundred three thousand, two hundred".