151505200 has 120 divisors (see below), whose sum is σ = 453899520. Its totient is φ = 47212800.

The previous prime is 151505191. The next prime is 151505201. The reversal of 151505200 is 2505151.

It is not an unprimeable number, because it can be changed into a prime (151505201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28341 + ... + 33259.

It is an arithmetic number, because the mean of its divisors is an integer number (3782496).

Almost surely, 2^151505200 is an apocalyptic number.

151505200 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 151505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226949760).

151505200 is an abundant number, since it is smaller than the sum of its proper divisors (302394320).

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

151505200 is a wasteful number, since it uses less digits than its factorization.

151505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 19.

The square root of 151505200 is about 12308.7448588392. The cubic root of 151505200 is about 533.1006102703.

The spelling of 151505200 in words is "one hundred fifty-one million, five hundred five thousand, two hundred".