150119200 has 144 divisors (see below), whose sum is σ = 457095744. Its totient is φ = 46771200.

The previous prime is 150119173. The next prime is 150119201. The reversal of 150119200 is 2911051.

It is a super-4 number, since 4×150119200⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (150119201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60382 + ... + 62818.

It is an arithmetic number, because the mean of its divisors is an integer number (3174276).

Almost surely, 2^150119200 is an apocalyptic number.

150119200 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 150119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228547872).

150119200 is an abundant number, since it is smaller than the sum of its proper divisors (306976544).

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

150119200 is a wasteful number, since it uses less digits than its factorization.

150119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 150119200 is about 12252.3140671467. The cubic root of 150119200 is about 531.4699905503.

The spelling of 150119200 in words is "one hundred fifty million, one hundred nineteen thousand, two hundred".