150255200 has 72 divisors (see below), whose sum is σ = 372944880. Its totient is φ = 59097600.

The previous prime is 150255199. The next prime is 150255221. The reversal of 150255200 is 2552051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 47261 + ... + 50339.

It is an arithmetic number, because the mean of its divisors is an integer number (5179790).

Almost surely, 2^150255200 is an apocalyptic number.

150255200 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 150255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186472440).

150255200 is an abundant number, since it is smaller than the sum of its proper divisors (222689680).

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

150255200 is a wasteful number, since it uses less digits than its factorization.

150255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 150255200 is about 12257.8627827203. The cubic root of 150255200 is about 531.6304366101.

The spelling of 150255200 in words is "one hundred fifty million, two hundred fifty-five thousand, two hundred".