150893120 has 224 divisors, whose sum is σ = 442423296. Its totient is φ = 47923200.

The previous prime is 150893111. The next prime is 150893123. The reversal of 150893120 is 21398051.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (150893123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2847014 + ... + 2847066.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^150893120 is an apocalyptic number.

150893120 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 150893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

150893120 is an abundant number, since it is smaller than the sum of its proper divisors (291530176).

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

150893120 is a wasteful number, since it uses less digits than its factorization.

150893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 150893120 is about 12283.8560720972. The cubic root of 150893120 is about 532.3817336743.

The spelling of 150893120 in words is "one hundred fifty million, eight hundred ninety-three thousand, one hundred twenty".