150352200 has 120 divisors (see below), whose sum is σ = 522251730. Its totient is φ = 40089600.

The previous prime is 150352177. The next prime is 150352253. The reversal of 150352200 is 2253051.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 136469124 + 13883076 = 11682^2 + 3726^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11560 + ... + 20840.

Almost surely, 2^150352200 is an apocalyptic number.

150352200 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 150352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261125865).

150352200 is an abundant number, since it is smaller than the sum of its proper divisors (371899530).

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

150352200 is a wasteful number, since it uses less digits than its factorization.

150352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 150352200 is about 12261.8187884180. The cubic root of 150352200 is about 531.7448132604.

The spelling of 150352200 in words is "one hundred fifty million, three hundred fifty-two thousand, two hundred".