150355200 has 216 divisors, whose sum is σ = 510967296. Its totient is φ = 38912000.

The previous prime is 150355199. The next prime is 150355207. The reversal of 150355200 is 2553051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150355207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787105 + ... + 787295.

Almost surely, 2^150355200 is an apocalyptic number.

150355200 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 150355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255483648).

150355200 is an abundant number, since it is smaller than the sum of its proper divisors (360612096).

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

150355200 is a wasteful number, since it uses less digits than its factorization.

150355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 150355200 is about 12261.9411187626. The cubic root of 150355200 is about 531.7483498983.

The spelling of 150355200 in words is "one hundred fifty million, three hundred fifty-five thousand, two hundred".