151303200 has 144 divisors (see below), whose sum is σ = 514092096. Its totient is φ = 38579200.

The previous prime is 151303193. The next prime is 151303259. The reversal of 151303200 is 2303151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151303200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53830 + ... + 56570.

It is an arithmetic number, because the mean of its divisors is an integer number (3570084).

Almost surely, 2^151303200 is an apocalyptic number.

151303200 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 151303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257046048).

151303200 is an abundant number, since it is smaller than the sum of its proper divisors (362788896).

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

151303200 is a wasteful number, since it uses less digits than its factorization.

151303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 151303200 is about 12300.5365736621. The cubic root of 151303200 is about 532.8635794232.

Adding to 151303200 its reverse (2303151), we get a palindrome (153606351).

The spelling of 151303200 in words is "one hundred fifty-one million, three hundred three thousand, two hundred".