151133200 has 60 divisors (see below), whose sum is σ = 370869120. Its totient is φ = 59159680.

The previous prime is 151133189. The next prime is 151133221. The reversal of 151133200 is 2331151.

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

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, 14781 + ... + 22819.

It is an arithmetic number, because the mean of its divisors is an integer number (6181152).

Almost surely, 2^151133200 is an apocalyptic number.

151133200 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 151133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185434560).

151133200 is an abundant number, since it is smaller than the sum of its proper divisors (219735920).

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

151133200 is a wasteful number, since it uses less digits than its factorization.

151133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 151133200 is about 12293.6243638725. The cubic root of 151133200 is about 532.6639344793.

Adding to 151133200 its reverse (2331151), we get a palindrome (153464351).

The spelling of 151133200 in words is "one hundred fifty-one million, one hundred thirty-three thousand, two hundred".