150152200 has 96 divisors (see below), whose sum is σ = 384484320. Its totient is φ = 54080000.

The previous prime is 150152147. The next prime is 150152201. The reversal of 150152200 is 2251051.

It is not an unprimeable number, because it can be changed into a prime (150152201) 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, 287940 + ... + 288460.

It is an arithmetic number, because the mean of its divisors is an integer number (4005045).

Almost surely, 2^150152200 is an apocalyptic number.

150152200 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 150152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192242160).

150152200 is an abundant number, since it is smaller than the sum of its proper divisors (234332120).

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

150152200 is a wasteful number, since it uses less digits than its factorization.

150152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 150152200 is about 12253.6606775282. The cubic root of 150152200 is about 531.5089312159.

It can be divided in two parts, 150152 and 200, that multiplied together give a square (30030400 = 5480²).

The spelling of 150152200 in words is "one hundred fifty million, one hundred fifty-two thousand, two hundred".