151200800 has 72 divisors (see below), whose sum is σ = 370882512. Its totient is φ = 60192000.

The previous prime is 151200769. The next prime is 151200811. The reversal of 151200800 is 8002151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264515 + ... + 265085.

It is an arithmetic number, because the mean of its divisors is an integer number (5151146).

Almost surely, 2^151200800 is an apocalyptic number.

151200800 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 151200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185441256).

151200800 is an abundant number, since it is smaller than the sum of its proper divisors (219681712).

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

151200800 is a wasteful number, since it uses less digits than its factorization.

151200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 151200800 is about 12296.3734491109. The cubic root of 151200800 is about 532.7433406249.

Adding to 151200800 its reverse (8002151), we get a palindrome (159202951).

The spelling of 151200800 in words is "one hundred fifty-one million, two hundred thousand, eight hundred".