150191600 has 120 divisors (see below), whose sum is σ = 411692400. Its totient is φ = 52162560.

The previous prime is 150191579. The next prime is 150191603. The reversal of 150191600 is 6191051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150191603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87551 + ... + 89249.

It is an arithmetic number, because the mean of its divisors is an integer number (3430770).

Almost surely, 2^150191600 is an apocalyptic number.

150191600 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 150191600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205846200).

150191600 is an abundant number, since it is smaller than the sum of its proper divisors (261500800).

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

150191600 is a wasteful number, since it uses less digits than its factorization.

150191600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 150191600 is about 12255.2682549180. The cubic root of 150191600 is about 531.5554165387. Note that the first 3 decimals are identical.

The spelling of 150191600 in words is "one hundred fifty million, one hundred ninety-one thousand, six hundred".